Closed subset - Revision history

Vipul: /* Relation with other properties */

2009-01-17T16:47:53Z

Relation with other properties

← Older revision		Revision as of 16:47, 17 January 2009
Line 16:		Line 16:
	===Stronger properties===		===Stronger properties===

	* [[Clopen subset]]		* [[Weaker than::Clopen subset]]

	===Weaker properties===		===Weaker properties===

	* [[Locally closed subset]]		* [[Stronger than::Locally closed subset]]

Vipul: 3 revisions

2008-05-11T19:40:47Z

3 revisions

← Older revision	Revision as of 19:40, 11 May 2008
(No difference)

Vipul at 23:48, 5 January 2008

2008-01-05T23:48:40Z

← Older revision		Revision as of 23:48, 5 January 2008
Line 1:		Line 1:
	{{toposubspace property}}		{{toposubspace property}}

			{{set-theoretic complement is\|open subset}}

	{{basicdef}}		{{basicdef}}

Vipul at 23:00, 26 December 2007

2007-12-26T23:00:55Z

← Older revision		Revision as of 23:00, 26 December 2007
Line 1:		Line 1:
	{{toposubspace property}}		{{toposubspace property}}

			{{basicdef}}

	==Definition==		==Definition==

Vipul at 23:00, 26 December 2007

2007-12-26T23:00:17Z

New page

{{toposubspace property}}

==Definition==

A subset of a [[topological space]] is termed '''closed''' if it satisfies the following equivalent conditions:

* Its set-theoretic complement is an [[open subset]]
* It contains all its [[limit point]]s

==Relation with other properties==

===Stronger properties===

* [[Clopen subset]]

===Weaker properties===

* [[Locally closed subset]]