# User contributions

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- 14:50, 6 July 2019 (diff | hist) . . (+12) . . Topospaces:Error log (current)
- 14:49, 6 July 2019 (diff | hist) . . (+272) . . Topospaces:Error log
- 14:48, 6 July 2019 (diff | hist) . . (+64) . . Metrizable implies monotonically normal (current)
- 14:47, 6 July 2019 (diff | hist) . . (0) . . Metrizable implies monotonically normal (→Proof of disjointness)
- 14:28, 6 July 2019 (diff | hist) . . (+260) . . Topospaces:Error log
- 14:26, 6 July 2019 (diff | hist) . . (+149) . . Topospaces:Error log
- 14:25, 6 July 2019 (diff | hist) . . (0) . . Topospaces:Error log
- 14:23, 6 July 2019 (diff | hist) . . (0) . . Locally operator (→"locally" at a point) (current)
- 14:19, 6 July 2019 (diff | hist) . . (+301) . . Topospaces:Error log
- 14:17, 6 July 2019 (diff | hist) . . (0) . . Locally operator (→Facts)
- 14:16, 6 July 2019 (diff | hist) . . (+237) . . Topospaces:Error log
- 14:08, 6 July 2019 (diff | hist) . . (+207) . . Topospaces:Error log
- 14:05, 6 July 2019 (diff | hist) . . (+18) . . Hausdorffization (→Iterative construction) (current)
- 14:03, 6 July 2019 (diff | hist) . . (-150) . . Hausdorffization
- 13:57, 6 July 2019 (diff | hist) . . (+195) . . Topospaces:Error log
- 13:54, 6 July 2019 (diff | hist) . . (+361) . . Topospaces:Error log
- 13:49, 6 July 2019 (diff | hist) . . (+428) . . Topospaces:Error log
- 13:47, 6 July 2019 (diff | hist) . . (+143) . . Space of path components (→As a monoid) (current)
- 06:01, 27 November 2017 (diff | hist) . . (+1) . . User:Vipul/Sandbox (current)
- 05:46, 27 November 2017 (diff | hist) . . (0) . . User:Vipul/Sandbox
- 05:28, 27 November 2017 (diff | hist) . . (+2) . . User:Vipul/Sandbox
- 16:59, 3 June 2017 (diff | hist) . . (+338) . . Compact times paracompact implies paracompact (current)
- 16:55, 3 June 2017 (diff | hist) . . (-1) . . Compact times paracompact implies paracompact (→Proof)
- 16:44, 3 June 2017 (diff | hist) . . (+323) . . Topospaces:Error log
- 16:39, 3 June 2017 (diff | hist) . . (-60) . . Compact times paracompact implies paracompact (→Proof)
- 16:38, 3 June 2017 (diff | hist) . . (+275) . . Compact times paracompact implies paracompact (→Proof)
- 16:36, 3 June 2017 (diff | hist) . . (+126) . . Compact times paracompact implies paracompact (→Proof)
- 16:32, 3 June 2017 (diff | hist) . . (+9) . . Compact times paracompact implies paracompact (→Proof)
- 16:31, 3 June 2017 (diff | hist) . . (+44) . . Compact times paracompact implies paracompact (→Proof)
- 16:30, 3 June 2017 (diff | hist) . . (+10) . . Compact times paracompact implies paracompact (→Proof)
- 16:29, 3 June 2017 (diff | hist) . . (+1) . . Compact times paracompact implies paracompact (→Proof)
- 16:29, 3 June 2017 (diff | hist) . . (+41) . . Compact times paracompact implies paracompact (→Proof)
- 16:29, 3 June 2017 (diff | hist) . . (+1) . . Compact times paracompact implies paracompact (→Proof)
- 16:27, 3 June 2017 (diff | hist) . . (+154) . . Compact times paracompact implies paracompact (→Proof)
- 16:26, 3 June 2017 (diff | hist) . . (-106) . . Compact times paracompact implies paracompact (→Statement)
- 16:25, 3 June 2017
(diff | hist) . .
**(+2,957)** . . Compact times paracompact implies paracompact - 14:52, 2 June 2017 (diff | hist) . . (+25) . . Compact times paracompact implies paracompact (→Facts used)
- 01:36, 5 January 2017 (diff | hist) . . (+297) . . Hausdorff space (→Weaker properties) (current)
- 01:35, 5 January 2017 (diff | hist) . . (+58) . . Hausdorff space (→Weaker properties)
- 01:33, 5 January 2017 (diff | hist) . . (+323) . . Sober space (→Stronger properties) (current)
- 01:31, 5 January 2017 (diff | hist) . . (+1) . . Sober T0 space (→= Weaker properties) (current)
- 01:31, 5 January 2017
(diff | hist) . .
**(+1,630)** . . N Sober T0 space (Created page with "{{topospace property conjunction|sober space|T0 space}} == Statement == A topological space <math>X</math> is termed a '''sober T0 space''' if it is both a sober space...") - 01:27, 5 January 2017 (diff | hist) . . (+195) . . Sober T1 space (→Weaker properties) (current)
- 01:26, 5 January 2017 (diff | hist) . . (+22) . . Sober T1 space (→Definition)
- 01:24, 5 January 2017
(diff | hist) . .
**(+1,751)** . . N Sober T1 space (Created page with "{{topospace property conjunction|sober space|T1 space}} == Definition == A topological space <math>X</math> is termed a '''sober T1 space''' if, for any nonempty subset...") - 01:18, 5 January 2017 (diff | hist) . . (+73) . . Sober space (→Stronger properties)
- 00:51, 5 January 2017 (diff | hist) . . (+6) . . Sober space (→Stronger properties)
- 00:50, 5 January 2017 (diff | hist) . . (+234) . . Sober space (→Stronger properties)
- 00:49, 5 January 2017 (diff | hist) . . (+28) . . Sober space (→Relation with other properties)
- 00:48, 5 January 2017 (diff | hist) . . (+478) . . Sober space (→Relation with other properties)
- 00:45, 5 January 2017 (diff | hist) . . (-80) . . Ultraconnected space (→Opposite properties) (current)
- 00:42, 5 January 2017 (diff | hist) . . (+80) . . Ultraconnected space (→Opposite properties)
- 00:41, 5 January 2017 (diff | hist) . . (+92) . . Irreducible space (→Definition) (current)
- 00:40, 5 January 2017 (diff | hist) . . (+51) . . Ultraconnected space (→Definition)
- 00:40, 5 January 2017 (diff | hist) . . (+128) . . Ultraconnected space (→Relation with other properties)
- 00:39, 5 January 2017 (diff | hist) . . (+158) . . Ultraconnected space (→Definition)
- 00:37, 5 January 2017 (diff | hist) . . (-8) . . Ultraconnected space (→Definition)
- 00:36, 5 January 2017 (diff | hist) . . (+10) . . Connected space (→Relation with size of space) (current)
- 00:36, 5 January 2017 (diff | hist) . . (+20) . . Connected space (→Relation with size of space)
- 00:16, 5 January 2017 (diff | hist) . . (+158) . . Compact Hausdorff space (→Weaker properties)
- 23:44, 4 January 2017 (diff | hist) . . (+149) . . Compact Hausdorff space (→Weaker properties)
- 23:43, 4 January 2017 (diff | hist) . . (+249) . . Compact Hausdorff space (→Weaker properties)
- 23:41, 4 January 2017 (diff | hist) . . (-11) . . Paracompact Hausdorff space (→Weaker properties) (current)
- 23:40, 4 January 2017 (diff | hist) . . (-1) . . Paracompact Hausdorff space (→Weaker properties)
- 23:40, 4 January 2017
(diff | hist) . .
**(+859)** . . Paracompact Hausdorff space (→Weaker properties) - 23:36, 4 January 2017 (diff | hist) . . (-11) . . Paracompact Hausdorff space (→Relation with other properties)
- 18:21, 15 December 2016
(diff | hist) . .
**(+942)** . . Topospaces:Error log - 18:18, 15 December 2016 (diff | hist) . . (+6) . . Homotopy type of connected sum depends on choice of gluing map (→Proof) (current)
- 18:17, 15 December 2016 (diff | hist) . . (+4) . . Connected sum of two complex projective planes with opposite orientation (→Algebraic topology) (current)
- 16:43, 13 December 2016 (diff | hist) . . (+474) . . Topospaces:Error log
- 16:40, 13 December 2016 (diff | hist) . . (+4) . . Connected sum of two complex projective planes with same orientation (→Algebraic topology) (current)
- 18:16, 21 November 2016 (diff | hist) . . (+12) . . Paracompact Hausdorff implies normal (→Proof of normality) (current)
- 19:45, 5 September 2016 (diff | hist) . . (+4) . . User:Vipul/Sandbox
- 19:44, 5 September 2016 (diff | hist) . . (+55) . . N User:Vipul/Sandbox (Created page with "<math>\sqrt{\frac{e^{\pi}}{\sigma^3 + e^\sigma}}</math>")
- 15:25, 23 June 2016 (diff | hist) . . (-10) . . Simply connected manifold (current)
- 15:24, 23 June 2016 (diff | hist) . . (+1) . . Contractible manifold (→Definition) (current)
- 15:22, 23 June 2016 (diff | hist) . . (+245) . . Contractible space (→Weaker properties) (current)
- 20:06, 22 June 2016
(diff | hist) . .
**(+1,544)** . . N Homology manifold (Created page with "{{topospace property}} == Definition == Suppose <math>n</math> is a nonnegative integer. A topological space <math>X</math> is said to be a homology manifold of dimensio...") (current) - 19:57, 22 June 2016 (diff | hist) . . (+13) . . Manifold (→Definition) (current)
- 19:29, 22 June 2016 (diff | hist) . . (+1) . . Manifold (→Weaker properties)
- 19:29, 22 June 2016 (diff | hist) . . (-49) . . Manifold (→Weaker properties)
- 19:27, 22 June 2016
(diff | hist) . .
**(+3,081)** . . Connected manifold (→Relation with other properties) (current) - 19:23, 22 June 2016
(diff | hist) . .
**(+1,079)** . . Connected manifold - 19:13, 22 June 2016
(diff | hist) . .
**(+2,237)** . . N Contractible manifold (Created page with "{{topospace property conjunction|contractible space|manifold}} == Definition == A ''contractible manifold''' is a topological space satisfying the following equivalent c...") - 18:56, 22 June 2016
(diff | hist) . .
**(+1,566)** . . N Triangulable manifold (Created page with "{{topospace property conjunction|manifold|polyhedron}} ==Definition== A '''triangulable manifold''' is a topological space that is both a manifold and a polyhedron...") (current) - 18:31, 22 June 2016
(diff | hist) . .
**(+1,378)** . . Differentiable manifold (current) - 18:17, 22 June 2016 (diff | hist) . . (+195) . . Manifold (→Stronger properties)
- 07:27, 22 June 2016 (diff | hist) . . (+231) . . Manifold (→Stronger properties)
- 07:26, 22 June 2016 (diff | hist) . . (+125) . . Manifold (→Incomparable properties)
- 07:25, 22 June 2016
(diff | hist) . .
**(+750)** . . Manifold (→Relation with other properties) - 07:17, 22 June 2016 (diff | hist) . . (+421) . . Manifold (→Weaker properties)
- 07:15, 22 June 2016 (diff | hist) . . (+125) . . Manifold (→Stronger properties)
- 07:14, 22 June 2016 (diff | hist) . . (+1) . . Manifold (→Weaker properties)
- 07:14, 22 June 2016
(diff | hist) . .
**(+2,073)** . . Manifold (→Weaker properties) - 07:01, 22 June 2016
(diff | hist) . .
**(+1,009)** . . Manifold (→Relation with other properties) - 06:47, 22 June 2016 (diff | hist) . . (-1) . . Homology sphere (→Definition) (current)
- 06:44, 22 June 2016 (diff | hist) . . (+225) . . Homology sphere (→Relation with other properties)
- 06:43, 22 June 2016 (diff | hist) . . (+12) . . Homology sphere
- 06:43, 22 June 2016
(diff | hist) . .
**(+2,107)** . . N Homology sphere (Created page with "== Definition == Suppose <math>n</math> is a natural number. A '''homology <math>n</math>-sphere'''' is a <math>n</math>-dimensional manifold whose homology groups (o...") - 06:40, 22 June 2016 (diff | hist) . . (-6) . . Polyhedron (→Stronger properties) (current)
- 17:24, 21 June 2016 (diff | hist) . . (-92) . . Acyclic space (→Stronger properties) (current)
- 15:06, 21 June 2016 (diff | hist) . . (+118) . . Space with Euler characteristic one (→Weaker properties) (current)
- 15:05, 21 June 2016
(diff | hist) . .
**(+537)** . . Space with Euler characteristic one (→Relation with other properties) - 15:03, 21 June 2016 (diff | hist) . . (0) . . m Space with Euler characteristic zero (Vipul moved page Space with zero Euler characteristic to Space with Euler characteristic zero over redirect) (current)
- 15:03, 21 June 2016 (diff | hist) . . (+50) . . N Space with zero Euler characteristic (Vipul moved page Space with zero Euler characteristic to Space with Euler characteristic zero over redirect) (current)
- 15:00, 21 June 2016 (diff | hist) . . (+4) . . Space with Euler characteristic one (→Relation with other properties)
- 14:59, 21 June 2016 (diff | hist) . . (+64) . . Acyclic space (→Stronger properties)
- 14:58, 21 June 2016 (diff | hist) . . (+75) . . Acyclic space (→Stronger properties)
- 14:57, 21 June 2016
(diff | hist) . .
**(+1,572)** . . Acyclic space (→Weaker properties) - 14:54, 21 June 2016
(diff | hist) . .
**(-563)** . . Space with finitely generated homology groups (Redirected page to Space with homology of finite type) (current) - 06:09, 21 June 2016
(diff | hist) . .
**(+1,833)** . . Weakly contractible space (→Relation with other properties) (current) - 21:47, 20 June 2016 (diff | hist) . . (+12) . . Weakly contractible space (→Equivalent definitions in tabular format)
- 21:46, 20 June 2016 (diff | hist) . . (+14) . . Weakly contractible space (→Equivalent definitions in tabular format)
- 21:37, 20 June 2016 (diff | hist) . . (-9) . . Weakly contractible space (→Equivalent definitions in tabular format)
- 21:37, 20 June 2016
(diff | hist) . .
**(+4,712)** . . Weakly contractible space (→Definition) - 15:18, 4 June 2016 (diff | hist) . . (+5) . . Contractible space (→Examples from geometry)
- 15:03, 1 June 2016 (diff | hist) . . (+4) . . Weakly contractible space
- 15:02, 1 June 2016 (diff | hist) . . (+276) . . Contractible space (→Examples)
- 14:29, 1 June 2016 (diff | hist) . . (+1) . . Contractible space (→Examples from geometry)
- 14:27, 1 June 2016 (diff | hist) . . (+1) . . Contractible space (→Examples from geometry)
- 14:25, 1 June 2016 (diff | hist) . . (0) . . Contractible space (→Examples from geometry)
- 07:14, 1 June 2016 (diff | hist) . . (+22) . . Homeotopy group (current)
- 07:11, 1 June 2016
(diff | hist) . .
**(-742)** . . Contractible space (→Metaproperties) - 02:19, 1 June 2016
(diff | hist) . .
**(+5,162)** . . Contractible space (→Relation with other properties) - 02:15, 1 June 2016 (diff | hist) . . (+42) . . Contractible space (→Equivalent definitions in tabular format)
- 02:10, 1 June 2016
(diff | hist) . .
**(+679)** . . Contractible space - 15:27, 31 May 2016 (diff | hist) . . (+205) . . Contractibility is not closure-preserved (current)
- 15:27, 31 May 2016 (diff | hist) . . (+120) . . Contractibility is not closure-preserved (→Proof)
- 15:26, 31 May 2016
(diff | hist) . .
**(+920)** . . N Contractibility is not closure-preserved (Created page with "{{topospace metaproperty dissatisfaction| property = contractible space| metaproperty = closure-preserved property of topological spaces}} == Definition == It is possible to...") - 15:20, 31 May 2016
(diff | hist) . .
**(+2,041)** . . Contractible space (→Definition) - 15:05, 31 May 2016 (diff | hist) . . (+91) . . Topologically convex space (→Weaker properties) (current)
- 15:04, 31 May 2016
(diff | hist) . .
**(+546)** . . Pair of intersecting lines (→Properties) (current) - 15:01, 31 May 2016 (diff | hist) . . (0) . . Pair of intersecting lines (→Properties)
- 15:01, 31 May 2016 (diff | hist) . . (+324) . . Pair of intersecting lines (→Properties)
- 14:59, 31 May 2016 (diff | hist) . . (+19) . . Pair of intersecting lines
- 14:59, 31 May 2016
(diff | hist) . .
**(+2,804)** . . N Pair of intersecting lines (Created page with "{{particular topospace}} {{standard counterexample}} == Definition == A '''pair of intersecting lines''' is the underlying topological space of any subset of Euclidea...") - 14:49, 31 May 2016 (diff | hist) . . (+58) . . Line with two origins (→Properties it does not satisfy) (current)
- 14:49, 31 May 2016 (diff | hist) . . (+290) . . Line with two origins
- 06:55, 31 May 2016 (diff | hist) . . (+20) . . Euclidean space (→Weaker properties) (current)
- 06:51, 31 May 2016 (diff | hist) . . (-1) . . Line with two origins (→Definition)
- 05:15, 31 May 2016 (diff | hist) . . (0) . . Locally contractible space (→Symbol-free definition) (current)
- 00:24, 31 May 2016 (diff | hist) . . (+259) . . Locally contractible space (→Stronger properties)
- 22:10, 30 May 2016 (diff | hist) . . (-2) . . Contractible space (→Symbol-free definition)
- 22:08, 30 May 2016 (diff | hist) . . (+433) . . Acyclic space (→Relation with other properties)
- 21:41, 30 May 2016 (diff | hist) . . (-1) . . Weakly contractible space
- 21:40, 30 May 2016 (diff | hist) . . (-1) . . Locally contractible space (→Weaker properties)
- 21:39, 30 May 2016
(diff | hist) . .
**(+1,888)** . . Locally contractible space (→Relation with other properties) - 21:32, 30 May 2016 (diff | hist) . . (+378) . . Locally contractible space (→Formalisms)
- 21:25, 30 May 2016 (diff | hist) . . (+2) . . Locally Euclidean space (→Manifold properties not satisfied for locally Euclidean spaces) (current)
- 21:25, 30 May 2016 (diff | hist) . . (-125) . . Locally Euclidean space (→Manifold properties not satisfied for locally Euclidean spaces)
- 21:19, 30 May 2016 (diff | hist) . . (+4) . . Locally Euclidean space (→Manifold properties not satisfied for locally Euclidean spaces)
- 21:17, 30 May 2016
(diff | hist) . .
**(+1,422)** . . Locally Euclidean space (→Relation with other properties) - 21:10, 30 May 2016 (diff | hist) . . (+1) . . Locally Euclidean space (→Formalisms)
- 21:09, 30 May 2016 (diff | hist) . . (+225) . . Locally Euclidean space (→Definition)
- 21:09, 30 May 2016 (diff | hist) . . (+302) . . Locally Euclidean space (→Stronger properties)
- 21:07, 30 May 2016 (diff | hist) . . (+105) . . Locally Euclidean space (→Definition)
- 21:07, 30 May 2016 (diff | hist) . . (+269) . . Locally Euclidean space (→Definition)
- 21:05, 30 May 2016 (diff | hist) . . (+231) . . Locally Euclidean space (→Definition)
- 21:04, 30 May 2016 (diff | hist) . . (+207) . . Locally Euclidean space (→Definition)
- 21:03, 30 May 2016 (diff | hist) . . (+187) . . Locally Euclidean space (→Definition)
- 20:57, 30 May 2016 (diff | hist) . . (+364) . . Locally operator (→Facts)
- 20:55, 30 May 2016 (diff | hist) . . (+222) . . Locally operator (→Facts)
- 20:54, 30 May 2016 (diff | hist) . . (+1) . . Uniformly based space (→Definition) (current)
- 20:53, 30 May 2016 (diff | hist) . . (-1) . . Uniformly based space (→Definition)
- 20:52, 30 May 2016 (diff | hist) . . (+146) . . Locally operator (→"locally" at a point)
- 20:51, 30 May 2016 (diff | hist) . . (0) . . Locally operator (→Global "locally" operator)
- 20:48, 30 May 2016
(diff | hist) . .
**(+508)** . . N Strongly locally operator (Created page with "== Definition == Suppose <math>p</math> is a property of topological spaces. The term '''strongly locally <math>p</math>''' is used to describe the following property of...") (current) - 20:43, 30 May 2016
(diff | hist) . .
**(+513)** . . Locally contractible space - 20:40, 30 May 2016 (diff | hist) . . (+250) . . Locally Hausdorff space (→Formalisms) (current)
- 20:39, 30 May 2016 (diff | hist) . . (+5) . . Locally Hausdorff space
- 20:39, 30 May 2016 (diff | hist) . . (+47) . . N Template:Obtainedbyapplyingthe (Vipul moved page Template:Obtainedbyapplyingthe to Template:Obtained by applying the) (current)
- 20:39, 30 May 2016 (diff | hist) . . (0) . . m Template:Obtained by applying the (Vipul moved page Template:Obtainedbyapplyingthe to Template:Obtained by applying the) (current)
- 20:38, 30 May 2016 (diff | hist) . . (-167) . . Locally Hausdorff space (→In terms of the local operator)
- 20:37, 30 May 2016 (diff | hist) . . (-1) . . Hausdorffness is hereditary (→Statement) (current)
- 20:36, 30 May 2016 (diff | hist) . . (-4) . . Template:Variation of (current)
- 20:35, 30 May 2016 (diff | hist) . . (+2) . . Locally Hausdorff space (→In terms of the local operator)
- 20:32, 30 May 2016 (diff | hist) . . (0) . . Locally operator (→Definition)
- 20:32, 30 May 2016 (diff | hist) . . (+221) . . Locally operator (→Facts)
- 20:31, 30 May 2016 (diff | hist) . . (-2) . . Template:Variation of
- 20:31, 30 May 2016 (diff | hist) . . (-80) . . Template:Variation of
- 20:30, 30 May 2016 (diff | hist) . . (+4) . . Locally contractible space
- 20:29, 30 May 2016
(diff | hist) . .
**(+1,148)** . . Locally operator - 20:22, 30 May 2016 (diff | hist) . . (-25) . . Locally contractible space (→Relation with other properties)
- 20:18, 30 May 2016 (diff | hist) . . (-104) . . Locally operator (→Facts)
- 20:18, 30 May 2016 (diff | hist) . . (-8) . . Locally operator (→Facts)
- 20:01, 30 May 2016
(diff | hist) . .
**(+522)** . . Topospaces:Error log - 20:01, 30 May 2016 (diff | hist) . . (-90) . . Locally path-connected space (→Formalisms) (current)
- 19:58, 30 May 2016 (diff | hist) . . (-413) . . Talk:Main Page (Blanked the page) (current)
- 19:57, 30 May 2016 (diff | hist) . . (-219) . . Real projective space has fixed-point property iff it has even dimension (→Similar facts about complex and quaternionic projective space) (current)
- 19:56, 30 May 2016 (diff | hist) . . (+9) . . Locally path-connected space (→Formalisms)
- 19:55, 30 May 2016 (diff | hist) . . (0) . . Paracompact Hausdorff implies normal (→Proof)
- 02:27, 20 April 2016 (diff | hist) . . (0) . . Normal space (→Stronger properties) (current)
- 02:27, 20 April 2016 (diff | hist) . . (+352) . . Normal space (→Stronger properties)
- 03:11, 17 April 2016 (diff | hist) . . (+59) . . Topospaces:Error log
- 03:05, 17 April 2016 (diff | hist) . . (+236) . . Topospaces:Error log
- 19:53, 15 April 2016 (diff | hist) . . (-79) . . Homotopy of spheres (→For higher n) (current)
- 19:52, 15 April 2016 (diff | hist) . . (+24) . . Homotopy of spheres (→For higher n)
- 19:50, 15 April 2016 (diff | hist) . . (-68) . . Homotopy of real projective space (→The case of higher n) (current)
- 19:49, 15 April 2016 (diff | hist) . . (-112) . . Homotopy of complex projective space (→Case of higher n) (current)
- 19:48, 15 April 2016 (diff | hist) . . (+61) . . Homotopy of real projective space (→The case of higher n)
- 19:47, 15 April 2016 (diff | hist) . . (-25) . . Homotopy of spheres (→For higher n)
- 19:47, 15 April 2016 (diff | hist) . . (+73) . . Homotopy of spheres (→For higher n)
- 02:16, 16 November 2015 (diff | hist) . . (-1) . . Tube lemma (→Statement) (current)
- 02:00, 16 November 2015 (diff | hist) . . (+45) . . Tube lemma
- 01:59, 16 November 2015
(diff | hist) . .
**(+558)** . . N Compactness is not box product-closed (Created page with "{{topospace metaproperty dissatisfaction| property = compact space| metaproperty = box product-closed property of topological spaces}} ==Statement== It is possible to have a...") (current) - 01:56, 16 November 2015 (diff | hist) . . (+1) . . Compact space (→Equivalent definitions in tabular format) (current)
- 01:53, 16 November 2015 (diff | hist) . . (+318) . . Connected space (→Equivalent definitions in tabular format)
- 01:50, 16 November 2015 (diff | hist) . . (+184) . . Connectedness is not box product-closed (→Proof) (current)
- 01:37, 16 November 2015 (diff | hist) . . (+54) . . Connectedness is not box product-closed (→Proof)
- 01:36, 16 November 2015 (diff | hist) . . (+64) . . Connectedness is not box product-closed
- 01:36, 16 November 2015
(diff | hist) . .
**(+1,735)** . . Connectedness is not box product-closed - 01:16, 16 November 2015 (diff | hist) . . (+144) . . Connectedness is product-closed (→Proof details) (current)
- 01:15, 16 November 2015 (diff | hist) . . (+157) . . Connectedness is product-closed (→Proof outline)
- 01:12, 16 November 2015 (diff | hist) . . (+9) . . Connectedness is product-closed (→Proof details)
- 01:12, 16 November 2015 (diff | hist) . . (+9) . . Connectedness is product-closed (→Statement)
- 01:12, 16 November 2015 (diff | hist) . . (-88) . . Connectedness is product-closed
- 00:59, 16 November 2015 (diff | hist) . . (+500) . . Connectedness is not weakly hereditary (→Proof) (current)
- 00:58, 16 November 2015 (diff | hist) . . (+4) . . Connectedness is not weakly hereditary (→Related facts)
- 00:57, 16 November 2015
(diff | hist) . .
**(+1,934)** . . N Connectedness is not weakly hereditary (Created page with "{{topospace metaproperty dissatisfaction| property = connected space| metaproperty = weakly hereditary property of topological spaces}} ==Statement== It is possible to have...") - 00:55, 16 November 2015 (diff | hist) . . (+1) . . Connectedness is not hereditary (→=Taking a finite subset) (current)
- 00:55, 16 November 2015 (diff | hist) . . (+2) . . Connectedness is not hereditary (→Space with one open point and two closed points)
- 00:55, 16 November 2015 (diff | hist) . . (-1) . . Connectedness is not hereditary (→=Space with one open point and two closed points)
- 00:54, 16 November 2015
(diff | hist) . .
**(+796)** . . Connectedness is not hereditary (→Examples from the real line) - 00:51, 16 November 2015
(diff | hist) . .
**(+1,765)** . . Connectedness is not hereditary (→Examples using finite topological spaces) - 00:46, 16 November 2015 (diff | hist) . . (+48) . . N Topological space metaproperty (Redirected page to Metaproperty of topological spaces) (current)
- 00:45, 16 November 2015 (diff | hist) . . (+64) . . Connectedness is not hereditary
- 00:45, 16 November 2015 (diff | hist) . . (+1) . . Connectedness is not hereditary (→Examples using finite topological spaces)
- 00:45, 16 November 2015 (diff | hist) . . (+111) . . Connectedness is not hereditary (→Examples using finite topological spaces)
- 00:44, 16 November 2015
(diff | hist) . .
**(+1,824)** . . N Connectedness is not hereditary (Created page with "{{topospace metaproperty dissatisfaction| property = connected space| metaproperty = subspace-hereditary property of topological spaces}} ==Statement== It is possible to hav...") - 00:16, 16 November 2015
(diff | hist) . .
**(+580)** . . Connected space - 00:12, 16 November 2015 (diff | hist) . . (+42) . . Connected space (→Equivalent definitions in tabular format)
- 00:11, 16 November 2015
(diff | hist) . .
**(+1,526)** . . Connected space (→Definition) - 00:01, 16 November 2015 (diff | hist) . . (+2) . . Connected space
- 00:01, 16 November 2015
(diff | hist) . .
**(+541)** . . Product-closed property of topological spaces (current) - 00:00, 16 November 2015
(diff | hist) . .
**(+1,403)** . . N Box product-closed property of topological spaces (Created page with "{{topospace metaproperty}} ==Definition== Suppose <math>\alpha</math> is a property of topological spaces, i.e., for any topological space <math>X</math>, <math>X</m...") (current) - 23:56, 15 November 2015
(diff | hist) . .
**(+847)** . . Template:Topospace metaproperty (current) - 23:54, 15 November 2015
(diff | hist) . .
**(+866)** . . N Product-closed property of topological spaces (Created page with "{{topospace metaproperty}} ==Definition== Suppose <math>\alpha</math> is a property of topological spaces, i.e., for any topological space <math>X</math>, <math>X</m...") - 23:49, 15 November 2015 (diff | hist) . . (+1) . . Metrizable space (→Weaker properties) (current)
- 23:49, 15 November 2015 (diff | hist) . . (+199) . . Metrizable space (→Weaker properties)
- 23:47, 15 November 2015 (diff | hist) . . (-47) . . Collectionwise Hausdorff space (→Stronger properties) (current)
- 23:40, 15 November 2015 (diff | hist) . . (+242) . . Topospaces:Error log
- 23:19, 15 November 2015 (diff | hist) . . (+208) . . Hausdorffization (→Iterative construction)
- 23:15, 15 November 2015
(diff | hist) . .
**(+2,153)** . . Hausdorffization (→Example to illustrate why one step isn't enough) - 23:01, 15 November 2015 (diff | hist) . . (-7) . . Hausdorffization (→Iterative construction)
- 23:01, 15 November 2015
(diff | hist) . .
**(+2,392)** . . Hausdorffization - 22:38, 15 November 2015 (diff | hist) . . (+30) . . N Maximal Hausdorff quotient (Redirected page to Hausdorffization) (current)
- 22:38, 15 November 2015 (diff | hist) . . (+30) . . N Hausdorff quotient (Redirected page to Hausdorffization) (current)
- 22:38, 15 November 2015 (diff | hist) . . (+30) . . N Hausdorffification (Redirected page to Hausdorffization) (current)
- 22:37, 15 November 2015 (diff | hist) . . (+30) . . N Hausdorffication (Redirected page to Hausdorffization) (current)
- 22:37, 15 November 2015 (diff | hist) . . (+128) . . Hausdorffization
- 22:35, 15 November 2015 (diff | hist) . . (-113) . . Hausdorffization
- 22:26, 15 November 2015 (diff | hist) . . (-6) . . Noetherian space (→Definition) (current)
- 06:34, 15 May 2015 (diff | hist) . . (+398) . . Topospaces:Error log
- 06:31, 15 May 2015 (diff | hist) . . (+2) . . Jointly continuous map (current)
- 06:12, 15 May 2015 (diff | hist) . . (-2) . . 2-torus (→Homology groups) (current)
- 22:46, 9 May 2015 (diff | hist) . . (-126) . . Universal coefficient theorem for cohomology (current)
- 22:44, 9 May 2015 (diff | hist) . . (-2) . . Dual universal coefficient theorem (→Related facts) (current)
- 22:44, 9 May 2015 (diff | hist) . . (+21) . . Dual universal coefficient theorem
- 22:43, 9 May 2015 (diff | hist) . . (+124) . . Universal coefficient theorem for cohomology
- 22:43, 9 May 2015 (diff | hist) . . (+122) . . Universal coefficient theorem for homology (current)
- 22:42, 9 May 2015 (diff | hist) . . (0) . . m Universal coefficient theorem for cohomology (Vipul moved page Universal coefficients theorem for cohomology to Universal coefficient theorem for cohomology)
- 22:42, 9 May 2015 (diff | hist) . . (+58) . . N Universal coefficients theorem for cohomology (Vipul moved page Universal coefficients theorem for cohomology to Universal coefficient theorem for cohomology) (current)
- 22:42, 9 May 2015 (diff | hist) . . (0) . . m Universal coefficient theorem for homology (Vipul moved page Universal coefficients theorem for homology to Universal coefficient theorem for homology)
- 22:42, 9 May 2015 (diff | hist) . . (+56) . . N Universal coefficients theorem for homology (Vipul moved page Universal coefficients theorem for homology to Universal coefficient theorem for homology) (current)
- 22:41, 9 May 2015 (diff | hist) . . (+123) . . Dual universal coefficient theorem
- 22:40, 9 May 2015 (diff | hist) . . (0) . . m Dual universal coefficient theorem (Vipul moved page Dual universal coefficients theorem to Dual universal coefficient theorem)
- 22:40, 9 May 2015 (diff | hist) . . (+48) . . N Dual universal coefficients theorem (Vipul moved page Dual universal coefficients theorem to Dual universal coefficient theorem) (current)
- 22:36, 9 May 2015 (diff | hist) . . (-4) . . Homotopy of real projective space (→The case n = 1)
- 22:35, 9 May 2015 (diff | hist) . . (+2) . . Homotopy of real projective space (→The case n = 1)
- 22:35, 9 May 2015 (diff | hist) . . (+130) . . Homotopy of real projective space (→The case of higher n)
- 22:34, 9 May 2015 (diff | hist) . . (+23) . . Homotopy of real projective space
- 22:30, 9 May 2015 (diff | hist) . . (0) . . Homotopy of real projective space (→The case of higher n)
- 22:28, 9 May 2015 (diff | hist) . . (-6) . . Homotopy of real projective space (→The case of higher n)
- 22:27, 9 May 2015 (diff | hist) . . (-12) . . Homotopy of real projective space (→Statement)
- 22:25, 9 May 2015 (diff | hist) . . (-2) . . Homotopy of real projective space (→The case n = 0)
- 22:25, 9 May 2015 (diff | hist) . . (-4) . . Homotopy of real projective space (→The case n = 1)
- 22:24, 9 May 2015 (diff | hist) . . (-9) . . Homotopy of real projective space (→The case n = 1)
- 22:23, 9 May 2015 (diff | hist) . . (+13) . . Homotopy of real projective space (→The case n = 1)
- 22:23, 9 May 2015 (diff | hist) . . (+21) . . Homotopy of real projective space (→The case n = 1)
- 23:56, 17 April 2015 (diff | hist) . . (-8) . . Main Page (current)
- 16:40, 19 December 2014 (diff | hist) . . (+4) . . Path-connected implies connected (→Proof details) (current)
- 01:58, 2 November 2014 (diff | hist) . . (+232) . . Topospaces:Error log
- 01:55, 2 November 2014 (diff | hist) . . (-11) . . Manifold (→Definition)
- 22:46, 11 February 2014 (diff | hist) . . (+333) . . Topospaces:Error log
- 22:44, 11 February 2014 (diff | hist) . . (0) . . Double mapping cylinder (→Definition) (current)
- 04:37, 30 January 2014 (diff | hist) . . (+117) . . Hausdorffness is refining-preserved (current)
- 04:37, 30 January 2014 (diff | hist) . . (+26) . . Hausdorff implies KC (current)
- 04:36, 30 January 2014 (diff | hist) . . (+24) . . Hausdorff implies T1 (current)
- 04:35, 30 January 2014 (diff | hist) . . (+26) . . Connectedness is not box product-closed
- 04:34, 30 January 2014 (diff | hist) . . (+25) . . Resolvability is open subspace-closed (current)
- 04:33, 30 January 2014 (diff | hist) . . (+25) . . Star-like implies contractible (current)
- 04:32, 30 January 2014 (diff | hist) . . (-151) . . T1 is hereditary (current)
- 04:31, 30 January 2014 (diff | hist) . . (+25) . . Ultraconnectedness is weakly hereditary (current)
- 04:30, 30 January 2014 (diff | hist) . . (+25) . . Noetherian implies compact (current)
- 04:30, 30 January 2014 (diff | hist) . . (-201) . . Hausdorffness is hereditary (→Statement)
- 04:30, 30 January 2014 (diff | hist) . . (+25) . . Hausdorffness is hereditary
- 04:29, 30 January 2014 (diff | hist) . . (+25) . . First-countable and T1 implies cardinality at most of continuum (]]) (current)
- 04:29, 30 January 2014 (diff | hist) . . (+100) . . First-countable and T1 implies cardinality at most of continuum
- 04:27, 30 January 2014 (diff | hist) . . (+25) . . Complete regularity is hereditary (current)
- 04:26, 30 January 2014 (diff | hist) . . (+25) . . Compactness is weakly hereditary (current)
- 04:26, 30 January 2014 (diff | hist) . . (+25) . . Compactness is coarsening-preserved (current)
- 04:25, 30 January 2014 (diff | hist) . . (+25) . . Compact Hausdorff implies normal (current)
- 04:24, 30 January 2014 (diff | hist) . . (-232) . . Compact Hausdorff implies normal (→Statement)
- 04:20, 30 January 2014 (diff | hist) . . (+113) . . N Property:Difficulty level (Created page with "Has type::Number See Groupprops:Property:Difficulty level for details on the meanings of various levels.") (current)
- 20:13, 29 January 2014
(diff | hist) . .
**(+1,562)** . . CW-space (→Relation with other properties) (current) - 20:00, 29 January 2014
(diff | hist) . .
**(+1,696)** . . Tychonoff space (current) - 19:53, 29 January 2014 (diff | hist) . . (+1) . . Compact space (→Equivalent definitions in tabular format)
- 19:52, 29 January 2014 (diff | hist) . . (-5) . . Hausdorffness is closure-local (→Proof) (current)
- 19:51, 29 January 2014 (diff | hist) . . (+147) . . Hausdorffness is closure-local (→Proof)
- 19:49, 29 January 2014 (diff | hist) . . (+55) . . Hausdorffness is closure-local (→Proof)
- 20:03, 18 November 2013 (diff | hist) . . (-18) . . MediaWiki:Sidebar (current)
- 20:02, 18 November 2013
(diff | hist) . .
**(+542)** . . Topospaces:Error log - 19:51, 18 November 2013
(diff | hist) . .
**(-1,023)** . . Weak homotopy equivalence of topological spaces (→Definition) - 04:02, 18 July 2013 (diff | hist) . . (+1) . . Iterated monodromy group (→=Full definition) (current)
- 01:39, 18 July 2013
(diff | hist) . .
**(+913)** . . N Extended mapping class group (Created page with "==Definition== Suppose <math>X</math> is a locally connected locally compact Hausdorff space. The '''extended mapping class group''' of <math>...") (current) - 01:33, 18 July 2013 (diff | hist) . . (+1) . . Homeotopy group
- 01:32, 18 July 2013
(diff | hist) . .
**(+1,238)** . . N Homeotopy group (Created page with "==Definition== Suppose <math>X</math> is a locally connected locally compact Hausdorff space and <math>k</math> is a positive integer. Denote ...") - 01:20, 18 July 2013 (diff | hist) . . (0) . . m Self-homeomorphism group of locally connected locally compact Hausdorff space is a T0 topological group under the compact-open topology (Vipul moved page Self-homeomorphism group of locally connected locally compact Hausdorff space is a topological group under the compact-open topology to [[Self-homeomorphism group of locally connected locally compact Hausdorff space is a T0 topolog...) (current)
- 01:20, 18 July 2013 (diff | hist) . . (+149) . . N Self-homeomorphism group of locally connected locally compact Hausdorff space is a topological group under the compact-open topology (Vipul moved page Self-homeomorphism group of locally connected locally compact Hausdorff space is a topological group under the compact-open topology to [[Self-homeomorphism group of locally connected locally compact Hausdorff space is a T0 topolog...) (current)
- 01:20, 18 July 2013
(diff | hist) . .
**(+627)** . . N Self-homeomorphism group of locally connected locally compact Hausdorff space is a T0 topological group under the compact-open topology (Created page with "==Statement== Suppose <math>X</math> is a locally connected locally compact Hausdorff space. Denote by <math>\operatorname{Homeo}(X)</math> th...") - 23:25, 17 July 2013 (diff | hist) . . (0) . . Weakly Hausdorff space (→Relation with other properties) (current)
- 23:23, 17 July 2013 (diff | hist) . . (-7) . . KC-space (→Relation with other properties) (current)
- 23:22, 17 July 2013 (diff | hist) . . (+290) . . KC-space (→Stronger properties)
- 23:20, 17 July 2013 (diff | hist) . . (+232) . . Hausdorff space (→Weaker properties)
- 23:19, 17 July 2013
(diff | hist) . .
**(+1,377)** . . N Weakly Hausdorff space (Created page with "{{topospace property}} ==Definition== A topological space <math>X</math> is termed a '''weak Hausdorff space'''' or '''weakly Hausdorff space''' if for every compact H...") - 22:50, 17 July 2013 (diff | hist) . . (+36) . . N Weak Hausdorff space (Redirected page to Weakly Hausdorff space) (current)
- 01:41, 16 July 2013 (diff | hist) . . (+53) . . Manifold implies nondegenerate (current)
- 03:00, 16 April 2013 (diff | hist) . . (+46) . . N Closed subset of compact space is compact (Redirected page to Compactness is weakly hereditary) (current)
- 04:46, 2 April 2013 (diff | hist) . . (+29) . . N Monodromy action (Redirected page to Monodromy group) (current)
- 04:43, 2 April 2013 (diff | hist) . . (+62) . . Monodromy group (current)
- 04:43, 2 April 2013 (diff | hist) . . (+167) . . Iterated monodromy group
- 04:42, 2 April 2013
(diff | hist) . .
**(+1,427)** . . N Iterated monodromy group (Created page with "==Definition== ===Motivation=== The notion of '''iterated monodromy group''' is defined in the context of a covering map from a subspace of a space to the whole space (t...") - 04:33, 2 April 2013 (diff | hist) . . (+38) . . N IMG (Redirected page to Iterated monodromy group) (current)
- 04:32, 2 April 2013
(diff | hist) . .
**(+1,480)** . . N Monodromy group (Created page with "==Definition== Suppose <math>X</math> is a path-connected locally path-connected topological space and <math>\ti...") - 23:38, 18 January 2013 (diff | hist) . . (+1) . . Template:Category structure (current)
- 17:43, 12 January 2013 (diff | hist) . . (-33) . . Hausdorff space (→Extreme examples)
- 03:39, 25 December 2012 (diff | hist) . . (+3) . . Hausdorff space (→Metaproperties)
- 00:01, 21 December 2012
(diff | hist) . .
**(+547)** . . N Vietoris topology (Created page with "==Definition== The '''Vietoris topology''' is a topology defined on the set of all non-empty subsets of a topological space based on the topology on the original topo...") (current) - 00:49, 18 September 2012
(diff | hist) . .
**(+1,433)** . . N Jordan curve theorem (Created page with "==Statement== Denote by <math>\R^2</math> the Euclidean plane (with the usual Euclidean topology). A '''Jordan curve''' in <math>\R^2</math> is the image in <math>\R^2</m...") (current) - 00:42, 18 September 2012 (diff | hist) . . (+100) . . Template:Standard counterexample (current)
- 18:47, 28 January 2012 (diff | hist) . . (+32) . . N Pompeiu–Hausdorff distance (Redirected page to Hausdorff distance) (current)
- 18:46, 28 January 2012 (diff | hist) . . (+32) . . N Hausdorff metric (Redirected page to Hausdorff distance) (current)
- 18:44, 28 January 2012 (diff | hist) . . (+158) . . Compact metrizable space (current)
- 18:42, 28 January 2012 (diff | hist) . . (+151) . . Compact metrizable space (→Relation with other properties)
- 18:41, 28 January 2012 (diff | hist) . . (+421) . . Compact metrizable space
- 18:38, 28 January 2012 (diff | hist) . . (+249) . . Compact space (→Stronger properties)
- 18:36, 28 January 2012 (diff | hist) . . (+119) . . Compact space (→Definition)
- 18:35, 28 January 2012
(diff | hist) . .
**(+543)** . . Compact space (→Definition) - 18:33, 28 January 2012 (diff | hist) . . (+2) . . Supercompact space (→Weaker properties) (current)
- 18:30, 28 January 2012 (diff | hist) . . (+35) . . N Bug-eyed line (Redirected page to Line with two origins) (current)
- 18:25, 28 January 2012 (diff | hist) . . (+30) . . N Trivial topology (Redirected page to Indiscrete space) (current)
- 18:24, 28 January 2012 (diff | hist) . . (+30) . . N Indiscrete topology (Redirected page to Indiscrete space) (current)
- 18:23, 28 January 2012 (diff | hist) . . (+1) . . Indiscrete space (→Definition) (current)
- 18:22, 28 January 2012
(diff | hist) . .
**(+1,674)** . . N Indiscrete space (Created page with "==Definition== A topological space is termed an '''indiscrete space''' if it satisfies the following equivalent conditions: # It has an ''empty'' subbasis. # It has ...") - 18:15, 28 January 2012 (diff | hist) . . (+225) . . Discrete space (→Definition) (current)
- 18:13, 28 January 2012 (diff | hist) . . (+28) . . N Discrete topology (Redirected page to Discrete space) (current)
- 18:10, 28 January 2012 (diff | hist) . . (+315) . . N Irreducibility is open subspace-closed (Created page with "{{topospace metaproperty satisfaction| property = irreducible space| metaproperty = open subspace-closed property of topological spaces}} ==Statement== Any open subset o...") (current)
- 18:07, 28 January 2012 (diff | hist) . . (+328) . . N Ultraconnectedness is weakly hereditary (Created page with "{{topospace metaproperty satisfaction| property = ultraconnected space| metaproperty = weakly hereditary property of topological spaces}} ==Statement== Any closed subset...")
- 18:04, 28 January 2012 (diff | hist) . . (+314) . . Sierpiński space (→Topological space properties) (current)
- 18:02, 28 January 2012 (diff | hist) . . (+114) . . Discrete space (→Definition)
- 18:00, 28 January 2012 (diff | hist) . . (+1) . . Door space (→Weaker properties) (current)
- 17:59, 28 January 2012 (diff | hist) . . (+241) . . Door space
- 17:58, 28 January 2012
(diff | hist) . .
**(+737)** . . Door space - 17:54, 28 January 2012
(diff | hist) . .
**(+937)** . . N Ultraconnected implies normal (Created page with "{{topospace property implication| stronger = ultraconnected space| weaker = normal space}} ==Statement== Any ultraconnected space is a normal space. ==Definitions u...") (current) - 17:44, 28 January 2012 (diff | hist) . . (+279) . . Normal space (→Relation with other properties)
- 17:41, 28 January 2012 (diff | hist) . . (+364) . . Ultraconnected space (→Relation with other properties)
- 17:40, 28 January 2012 (diff | hist) . . (-16) . . Ultraconnected space (→Relation with other properties)
- 17:24, 28 January 2012 (diff | hist) . . (+185) . . Locally regular space (current)
- 17:22, 28 January 2012 (diff | hist) . . (+24) . . Locally regular space
- 17:22, 28 January 2012
(diff | hist) . .
**(+789)** . . N Locally regular space (Created page with "==Definition== A topological space <math>X</math> is termed '''locally regular''' if it satisfies the following equivalent conditions: # It has a basis of [[open sub...") - 17:17, 28 January 2012 (diff | hist) . . (-111) . . Regular implies semiregular (→Definitions used) (current)
- 17:17, 28 January 2012
(diff | hist) . .
**(+2,699)** . . N Regular implies semiregular (Created page with "{{topospace property implication| stronger = regular space| weaker = semiregular space}} ==Statement== Any regular space is a semiregular space. ==Definitions used=...") - 17:01, 28 January 2012 (diff | hist) . . (+301) . . Semiregular space (current)
- 16:42, 28 January 2012 (diff | hist) . . (+3) . . Regular implies preregular (→Definitions used) (current)
- 16:42, 28 January 2012
(diff | hist) . .
**(+1,658)** . . N Regular implies preregular (Created page with "{{topospace property implication| stronger = regular space| weaker = preregular space}} ==Statement== Any regular space is a preregular space. ==Definitions used== ...") - 16:37, 28 January 2012 (diff | hist) . . (0) . . Regular space (→Definition) (current)
- 16:22, 28 January 2012 (diff | hist) . . (+31) . . Regular space (→Weaker properties)
- 16:22, 28 January 2012 (diff | hist) . . (+105) . . Regular space (→Weaker properties)
- 16:20, 28 January 2012
(diff | hist) . .
**(-687)** . . Regular space (→Relation with other properties) - 16:17, 28 January 2012
(diff | hist) . .
**(+1,655)** . . Regular space (→Definition) - 16:11, 28 January 2012
(diff | hist) . .
**(+504)** . . Regular space (→Definition) - 15:53, 28 January 2012 (diff | hist) . . (+141) . . Symmetric space (→Definition) (current)
- 15:52, 28 January 2012
(diff | hist) . .
**(+960)** . . Kolmogorov quotient (current) - 15:47, 28 January 2012
(diff | hist) . .
**(+769)** . . Symmetric space (→Relation with other properties) - 15:40, 28 January 2012 (diff | hist) . . (+2) . . Symmetric space (→Definition)
- 15:39, 28 January 2012 (diff | hist) . . (+297) . . Symmetric space (→Definition)
- 15:36, 28 January 2012 (diff | hist) . . (+341) . . Preregular space (→Relation with other properties) (current)
- 02:17, 28 January 2012 (diff | hist) . . (+205) . . Preregular space
- 02:16, 28 January 2012 (diff | hist) . . (+365) . . N Kolmogorov quotient (Created page with "==Definition== The '''Kolmogorov quotient''' of a topological space is defined as its quotient by the equivalence relation of topological indistinguishability, equipp...")
- 02:14, 28 January 2012 (diff | hist) . . (-1) . . Topological indistinguishability (current)
- 02:13, 28 January 2012
(diff | hist) . .
**(+1,031)** . . N Topological indistinguishability (Created page with "==Definition== '''Topological induistinguishability''' is an equivalence relation on any topological space. For a topological space <math>X</math>, two (possibly equal, p...") - 02:07, 28 January 2012 (diff | hist) . . (+46) . . N Topologically distinguishable points (Redirected page to Topological indistinguishability) (current)
- 02:06, 28 January 2012 (diff | hist) . . (0) . . Hausdorff space (→Weaker properties)
- 02:06, 28 January 2012 (diff | hist) . . (+224) . . Hausdorff space (→Weaker properties)
- 02:05, 28 January 2012 (diff | hist) . . (+137) . . Hausdorff space (→Definition)
- 02:04, 28 January 2012 (diff | hist) . . (+115) . . Regular Hausdorff space (→Definition) (current)
- 02:03, 28 January 2012
(diff | hist) . .
**(+642)** . . N Preregular space (Created page with "==Definition== A topological space is termed '''preregular''' if any two topologically distinguishable points can be separated by pairwise disjoint open subsets. ...") - 01:55, 28 January 2012 (diff | hist) . . (+10) . . Line with two origins (→Properties it does not satisfy)
- 01:54, 28 January 2012 (diff | hist) . . (+72) . . Line with two origins (→Properties it does not satisfy)
- 01:50, 28 January 2012 (diff | hist) . . (+93) . . Line with two origins (→Properties it does not satisfy)
- 01:45, 28 January 2012 (diff | hist) . . (+49) . . Line with two origins (→Properties it does not satisfy)
- 01:42, 28 January 2012 (diff | hist) . . (+6) . . Line with two origins (→Properties it does not satisfy)
- 01:41, 28 January 2012 (diff | hist) . . (-2) . . Line with two origins (→Properties it does not satisfy)
- 01:41, 28 January 2012
(diff | hist) . .
**(+930)** . . Line with two origins (→Topological space properties) - 01:22, 28 January 2012 (diff | hist) . . (-33) . . Sorgenfrey line (→Topological space properties) (current)
- 01:19, 28 January 2012 (diff | hist) . . (+37) . . Sorgenfrey line (→Topological space properties)
- 01:18, 28 January 2012 (diff | hist) . . (+9) . . Sorgenfrey line (→Topological space properties)
- 01:03, 28 January 2012 (diff | hist) . . (-17) . . Locally contractible space (→Definition)
- 01:00, 28 January 2012 (diff | hist) . . (+176) . . Semilocally simply connected space (→Definition) (current)
- 00:59, 28 January 2012 (diff | hist) . . (+1) . . Semilocally simply connected space (→Definition)
- 00:59, 28 January 2012 (diff | hist) . . (+1) . . Semilocally simply connected space (→Definition)
- 00:58, 28 January 2012
(diff | hist) . .
**(+652)** . . Semilocally simply connected space - 00:53, 28 January 2012 (diff | hist) . . (+1) . . Locally simply connected space (current)
- 00:52, 28 January 2012 (diff | hist) . . (+281) . . Locally simply connected space (→Definition)
- 00:51, 28 January 2012 (diff | hist) . . (0) . . Locally connected space (→Definition) (current)
- 00:51, 28 January 2012 (diff | hist) . . (+1) . . Locally connected space (→Definition)
- 00:48, 28 January 2012 (diff | hist) . . (+246) . . Locally Hausdorff space (→Definition)
- 00:47, 28 January 2012
(diff | hist) . .
**(+856)** . . Locally connected space (→Relation with other properties) - 00:44, 28 January 2012 (diff | hist) . . (+193) . . Locally connected space (→Definition)
- 00:43, 28 January 2012 (diff | hist) . . (+185) . . Locally Hausdorff space
- 00:42, 28 January 2012
(diff | hist) . .
**(+610)** . . Locally connected space - 00:39, 28 January 2012 (diff | hist) . . (+181) . . Sierpiński space (→Topological space properties)
- 00:38, 28 January 2012
(diff | hist) . .
**(+1,488)** . . N Space in which the connected components coincide with the quasicomponents (Created page with "==Definition== A '''space in which the connected components coincide with the quasicomponents''' is a topological space satisfying the following equivalent conditions: #...") (current) - 00:34, 28 January 2012
(diff | hist) . .
**(+1,078)** . . N Space in which all connected components are open (Created page with "==Definition== A '''space in which all connected components are open''' is a topological space satisfying the following equivalent conditions: # Every point is contained...") (current) - 00:30, 28 January 2012 (diff | hist) . . (-139) . . Space with finitely many connected components (→Stronger properties) (current)
- 00:29, 28 January 2012
(diff | hist) . .
**(+2,533)** . . N Space with finitely many connected components (Created page with "==Definition== A '''space with finitely many connected components''' is a topological space satisfying the following equivalent conditions: # It has finitely many [[conn...") - 00:21, 28 January 2012 (diff | hist) . . (+398) . . Connected space (→Weaker properties)
- 00:20, 28 January 2012 (diff | hist) . . (+110) . . Connected space (→Weaker properties)
- 00:19, 28 January 2012 (diff | hist) . . (+85) . . Connected space (→Weaker properties)
- 00:19, 28 January 2012 (diff | hist) . . (+239) . . Quasicomponent (→Related notions) (current)
- 00:16, 28 January 2012 (diff | hist) . . (+273) . . Quasicomponent
- 00:07, 28 January 2012 (diff | hist) . . (+244) . . Sierpiński space (→Topological space properties)
- 00:05, 28 January 2012 (diff | hist) . . (+24) . . Connected and regular Hausdorff with at least two points implies uncountable (current)
- 00:04, 28 January 2012 (diff | hist) . . (0) . . m Connected and regular Hausdorff with at least two points implies uncountable (moved Connected and regular with at least two points implies uncountable to Connected and regular Hausdorff with at least two points implies uncountable)
- 00:04, 28 January 2012 (diff | hist) . . (+90) . . N Connected and regular with at least two points implies uncountable (moved Connected and regular with at least two points implies uncountable to Connected and regular Hausdorff with at least two points implies uncountable) (current)
- 00:04, 28 January 2012 (diff | hist) . . (+4) . . Connected and functionally Hausdorff with at least two points implies cardinality at least that of the continuum (→Related facts) (current)
- 00:03, 28 January 2012 (diff | hist) . . (+70) . . Connected and functionally Hausdorff with at least two points implies cardinality at least that of the continuum (→Related facts)
- 00:03, 28 January 2012 (diff | hist) . . (+25) . . Connected and functionally Hausdorff with at least two points implies cardinality at least that of the continuum (→Related facts)
- 00:02, 28 January 2012 (diff | hist) . . (+106) . . Connected and functionally Hausdorff with at least two points implies cardinality at least that of the continuum
- 00:01, 28 January 2012 (diff | hist) . . (0) . . m Connected and functionally Hausdorff with at least two points implies cardinality at least that of the continuum (moved Connected and Urysohn with at least two points implies cardinality at least that of the continuum to Connected and functionally Hausdorff with at least two points implies cardinality at least that of the continuum)
- 00:01, 28 January 2012 (diff | hist) . . (+126) . . N Connected and Urysohn with at least two points implies cardinality at least that of the continuum (moved Connected and Urysohn with at least two points implies cardinality at least that of the continuum to Connected and functionally Hausdorff with at least two points implies cardinality at least that of the continuum) (current)
- 00:00, 28 January 2012 (diff | hist) . . (-4) . . Locally Hausdorff not implies Hausdorff (→Related facts) (current)
- 23:59, 27 January 2012 (diff | hist) . . (+155) . . Locally Hausdorff not implies Hausdorff
- 23:58, 27 January 2012 (diff | hist) . . (+34) . . Hausdorffness is closure-local (→Related facts)
- 23:55, 27 January 2012 (diff | hist) . . (+53) . . Hausdorffness is closure-local
- 23:52, 27 January 2012
(diff | hist) . .
**(+2,685)** . . N Hausdorffness is closure-local (Created page with "{{topospace metaproperty satisfaction| property = Hausdorff space| metaproperty = closure-local property of topological spaces}} ==Statement== Suppose <math>X</math> is a [[...") - 23:21, 27 January 2012 (diff | hist) . . (+355) . . Hausdorff space (→Metaproperties)
- 23:18, 27 January 2012 (diff | hist) . . (+84) . . Hausdorff space (→Stronger properties)
- 23:18, 27 January 2012 (diff | hist) . . (+425) . . Hausdorff space (→Relation with other properties)
- 23:15, 27 January 2012 (diff | hist) . . (+293) . . N Functional Hausdorffness is hereditary (Created page with "{{topospace metaproperty satisfaction| property = functionally Hausdorff space| metaproperty = subspace-hereditary property of topological spaces}} ==Statement== Any subset ...") (current)
- 23:14, 27 January 2012 (diff | hist) . . (+2) . . Urysohn is hereditary (current)
- 23:14, 27 January 2012 (diff | hist) . . (+68) . . Functionally Hausdorff space (→Metaproperties) (current)
- 23:00, 27 January 2012
(diff | hist) . .
**(+510)** . . Urysohn space (→Relation with other properties) (current) - 22:47, 27 January 2012 (diff | hist) . . (+27) . . Urysohn space (→Relation with other properties)
- 22:42, 27 January 2012 (diff | hist) . . (+1) . . Urysohn space
- 22:37, 27 January 2012
(diff | hist) . .
**(+1,552)** . . Urysohn space - 22:17, 27 January 2012 (diff | hist) . . (+15) . . Completely Hausdorff space (Redirected page to Functionally Hausdorff space) (current)
- 22:16, 27 January 2012 (diff | hist) . . (+343) . . Functionally Hausdorff space
- 22:15, 27 January 2012 (diff | hist) . . (0) . . m Normal Hausdorff implies functionally Hausdorff (moved Normal implies Urysohn to Normal Hausdorff implies functionally Hausdorff) (current)
- 22:15, 27 January 2012 (diff | hist) . . (+61) . . N Normal implies Urysohn (moved Normal implies Urysohn to Normal Hausdorff implies functionally Hausdorff) (current)
- 22:10, 27 January 2012 (diff | hist) . . (0) . . m Functionally Hausdorff space (moved Urysohn space to Functionally Hausdorff space)
- 22:10, 27 January 2012 (diff | hist) . . (+42) . . N Urysohn space (moved Urysohn space to Functionally Hausdorff space)
- 22:10, 27 January 2012 (diff | hist) . . (+20) . . Connected and normal Hausdorff with at least two points implies cardinality at least that of the continuum (current)
- 22:09, 27 January 2012 (diff | hist) . . (0) . . m Connected and normal Hausdorff with at least two points implies cardinality at least that of the continuum (moved Connected and normal with at least two points implies cardinality at least that of the continuum to Connected and normal Hausdorff with at least two points implies cardinality at least that of the continuum)
- 22:09, 27 January 2012 (diff | hist) . . (+120) . . N Connected and normal with at least two points implies cardinality at least that of the continuum (moved Connected and normal with at least two points implies cardinality at least that of the continuum to Connected and normal Hausdorff with at least two points implies cardinality at least that of the continuum) (current)
- 22:09, 27 January 2012
(diff | hist) . .
**(+1,626)** . . Normal space - 22:07, 27 January 2012 (diff | hist) . . (+48) . . N Normal Hausdorff implies completely regular (Redirected page to Normal Hausdorff implies Tychonoff) (current)
- 22:04, 27 January 2012 (diff | hist) . . (+67) . . Normal Hausdorff implies Tychonoff (current)
- 22:03, 27 January 2012 (diff | hist) . . (+1) . . Normal implies completely regular (Redirected page to Normal Hausdorff implies Tychonoff) (current)
- 22:03, 27 January 2012 (diff | hist) . . (0) . . m Normal Hausdorff implies Tychonoff (moved Normal Hausdorff implis Tychonoff to Normal Hausdorff implies Tychonoff)
- 22:03, 27 January 2012 (diff | hist) . . (+48) . . N Normal Hausdorff implis Tychonoff (moved Normal Hausdorff implis Tychonoff to Normal Hausdorff implies Tychonoff) (current)
- 22:02, 27 January 2012 (diff | hist) . . (0) . . m Normal Hausdorff implies Tychonoff (moved Normal implies completely regular to Normal Hausdorff implis Tychonoff)
- 22:02, 27 January 2012 (diff | hist) . . (+47) . . N Normal implies completely regular (moved Normal implies completely regular to Normal Hausdorff implis Tychonoff)
- 22:01, 27 January 2012 (diff | hist) . . (-113) . . Normal Hausdorff space (current)
- 21:59, 27 January 2012 (diff | hist) . . (+409) . . N Hereditarily normal Hausdorff space (Created page with "==Definition== A topological space is termed a '''hereditarily normal Hausdorff space''' if it satisfies the following equivalent conditions: # It is both a [[defining i...") (current)
- 21:54, 27 January 2012 (diff | hist) . . (-50) . . Hereditarily normal space (current)
- 21:52, 27 January 2012 (diff | hist) . . (+29) . . N Completely regular Hausdorff space (Redirected page to Tychonoff space) (current)
- 21:51, 27 January 2012 (diff | hist) . . (+125) . . Regular Hausdorff space (→Weaker properties)
- 21:51, 27 January 2012
(diff | hist) . .
**(+534)** . . Regular Hausdorff space (→Relation with other properties) - 21:49, 27 January 2012
(diff | hist) . .
**(+2,200)** . . Regular Hausdorff space - 18:11, 27 January 2012 (diff | hist) . . (0) . . m Normal space (moved Normal-minus-Hausdorff space to Normal space)
- 18:11, 27 January 2012 (diff | hist) . . (+26) . . N Normal-minus-Hausdorff space (moved Normal-minus-Hausdorff space to Normal space) (current)
- 18:03, 27 January 2012 (diff | hist) . . (0) . . m Normal Hausdorff space (moved Normal space to Normal Hausdorff space)
- 18:02, 27 January 2012 (diff | hist) . . (-3) . . Tychonoff space (→Definition)
- 18:02, 27 January 2012
(diff | hist) . .
**(-1,000)** . . Completely regular space (→Definition) (current) - 18:01, 27 January 2012
(diff | hist) . .
**(+1,930)** . . N Tychonoff space (Created page with "==Definition== A topological space is termed a '''Tychonoff space''' if it satisfies the following equivalent conditions: {| class="sortable" border="1" ! No. !! Shortha...") - 17:58, 27 January 2012
(diff | hist) . .
**(+509)** . . N Regular Hausdorff space (Created page with "==Definition== A topological space is termed a '''regular Hausdorff space''' or a <math>T_3</math> space if it satisfies the following equivalent conditions: # It is bot...") - 17:55, 27 January 2012
(diff | hist) . .
**(-583)** . . Regular space - 17:53, 27 January 2012 (diff | hist) . . (-339) . . Convention:Hausdorffness assumption (current)
- 17:48, 27 January 2012 (diff | hist) . . (-11) . . Locally connected space
- 04:22, 27 January 2012 (diff | hist) . . (+216) . . N Compact implies rim-compact (Created page with "{{topospace property implication| stronger = compact space| weaker = rim-compact space}} ==Statement== Any compact space is a rim-compact space. ==Facts used== # [...") (current)
- 04:21, 27 January 2012 (diff | hist) . . (+98) . . Second-countable space (→Definition) (current)
- 04:20, 27 January 2012 (diff | hist) . . (+17) . . Weight (→Particular cases) (current)
- 04:17, 27 January 2012
(diff | hist) . .
**(+653)** . . N Rim-compact space (Created page with "==Definition== A topological space is termed '''rim-compact''' if it has a basis of open subsets such that the boundary (i.e., the closure minus the subset) f...") (current) - 04:15, 27 January 2012 (diff | hist) . . (+24) . . N Every subset is open or closed (Redirected page to Door space) (current)
- 04:15, 27 January 2012 (diff | hist) . . (+30) . . N Every subset is locally closed (Redirected page to Submaximal space) (current)
- 04:14, 27 January 2012 (diff | hist) . . (+28) . . N Every subset is closed (Redirected page to Discrete space) (current)
- 04:14, 27 January 2012 (diff | hist) . . (+28) . . N Every subset is open (Redirected page to Discrete space) (current)
- 04:14, 27 January 2012 (diff | hist) . . (+35) . . N Every closed subset is open (Redirected page to Almost discrete space) (current)
- 04:13, 27 January 2012 (diff | hist) . . (+35) . . N Every open subset is closed (Redirected page to Almost discrete space) (current)

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