Contractible space
type: Ontology
creation date: 2025-11-28T19:24:59+00:00
imports: http://semantic-mediawiki.org/swivt/1.0

Contractible space
type: Subject
type: Category:Properties of topological spaces
type: Category:Homotopy-invariant properties of topological spaces
page: https://topospaces.subwiki.org/wiki/Contractible_space
wiki namespace: 0
wiki page content language: en
dissatisfies metaproperty: Connected union-closed property of topological spaces
dissatisfies metaproperty: Closure-preserved property of topological spaces
satisfies metaproperty: Retract-hereditary property of topological spaces
satisfies metaproperty: Suspension-closed property of topological spaces
satisfies metaproperty: Product-closed property of topological spaces
stronger than: Connected space
stronger than: Path-connected space
stronger than: Simply connected space
stronger than: Multiply connected space
stronger than: Acyclic space
stronger than: Rationally acyclic space
stronger than: Space with Euler characteristic one
stronger than: Weakly contractible space
weaker than: Topologically star-like space
weaker than: Suddenly contractible space
weaker than: SDR-contractible space
weaker than: Equiconnected space
weaker than: Nonempty topologically convex space
wiki page modification date: 2023-10-26T22:57:28Z
modification date#aux: 2460244.4565741
wiki page sort key: Contractible space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_1361304f7f8c4bc1141ce6f55572c0eb
type: Subject
master page: Contractible space
wiki namespace: 0
wiki page sort key: Contractible space#Munkres
page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Book-3AMunkres

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_857e7c5cc8e9160e95d5c7895b88fd66
type: Subject
master page: Contractible space
wiki namespace: 0
wiki page sort key: Contractible space#SingerThorpe
page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Book-3ASingerThorpe

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_028a9e4ae4a5459916315e6caf5553eb
type: Subject
master page: Contractible space
wiki namespace: 0
wiki page sort key: Contractible space#Rotman
page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Book-3ARotman

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_97a3eb5f08df3865fc283b72549da8ae
type: Subject
master page: Contractible space
wiki namespace: 0
wiki page sort key: Contractible space#Hatcher
page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Book-3AHatcher

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_8126ad49a807394781e6b8b0c36929ff
type: Subject
master page: Contractible space
wiki namespace: 0
wiki page sort key: Contractible space#Spanier
page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Book-3ASpanier

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type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Contractible space Topologically star-like space
wiki page sort key: Contractible space# QUERY0ba052d06dcc73943debe7e4edc4ec96

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type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Contractible space Topologically star-like space
wiki page sort key: Contractible space# QUERY559ebd6feb567c13f97c9826410c4223

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERY530c02edb9e71d3e32970f88f3835c18
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
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query string: Contractible space Topologically convex space
wiki page sort key: Contractible space# QUERY530c02edb9e71d3e32970f88f3835c18

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERYfbce936b9a57e812a83efec0456e0e28
type: Subject
master page: Contractible space
wiki namespace: 0
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query size: 4
query string: Contractible space Topologically convex space
wiki page sort key: Contractible space# QUERYfbce936b9a57e812a83efec0456e0e28

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERY2e4988709bae262c442f5a59d77d2954
type: Subject
master page: Contractible space
wiki namespace: 0
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query string: Contractible space Suddenly contractible space
wiki page sort key: Contractible space# QUERY2e4988709bae262c442f5a59d77d2954

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERYca830b2d425a52cedb38dfb27411afd3
type: Subject
master page: Contractible space
wiki namespace: 0
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query string: Contractible space Suddenly contractible space
wiki page sort key: Contractible space# QUERYca830b2d425a52cedb38dfb27411afd3

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERY5fdafce46097d30e5b6208e164bea7d2
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Contractible space SDR-contractible space
wiki page sort key: Contractible space# QUERY5fdafce46097d30e5b6208e164bea7d2

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERYe0e0f6936147d3bb4d48efbcc94c0c61
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Contractible space SDR-contractible space
wiki page sort key: Contractible space# QUERYe0e0f6936147d3bb4d48efbcc94c0c61

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERY9d411b8d57eb909fcdb1935a077e5419
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Contractible space Equiconnected space
wiki page sort key: Contractible space# QUERY9d411b8d57eb909fcdb1935a077e5419

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERY2e87b062878e0f17e8cea985a3a3eaaa
type: Subject
master page: Contractible space
wiki namespace: 0
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query size: 4
query string: Contractible space Equiconnected space
wiki page sort key: Contractible space# QUERY2e87b062878e0f17e8cea985a3a3eaaa

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type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Weakly contractible space Contractible space
wiki page sort key: Contractible space# QUERY4097fef07307017283ea434d17adf270

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERYa2bc2ef81bdaa575e5823e1d6a5f8cdb
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Weakly contractible space Contractible space
wiki page sort key: Contractible space# QUERYa2bc2ef81bdaa575e5823e1d6a5f8cdb

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERYfcfd386f59569c712388ae121d67fecb
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
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query string: Multiply connected space Contractible space
wiki page sort key: Contractible space# QUERYfcfd386f59569c712388ae121d67fecb

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type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Multiply connected space Contractible space
wiki page sort key: Contractible space# QUERY7452b76f20c7968da9076fe46158e7c6

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERY5ac6a62a4f5f9df34172dbd4fbc3f4d7
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Simply connected space Contractible space
wiki page sort key: Contractible space# QUERY5ac6a62a4f5f9df34172dbd4fbc3f4d7

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERY7883216aebb99771c4c8036f86627930
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Simply connected space Contractible space
wiki page sort key: Contractible space# QUERY7883216aebb99771c4c8036f86627930

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type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Path-connected space Contractible space
wiki page sort key: Contractible space# QUERY48ec36f9bdb9fe352fc6d3680374eede

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERYc8a313df7bd42f4069f569a1605550d5
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Path-connected space Contractible space
wiki page sort key: Contractible space# QUERYc8a313df7bd42f4069f569a1605550d5

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERY97e8f8d5e1d0f90ec9984e53922ed722
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Connected space Contractible space
wiki page sort key: Contractible space# QUERY97e8f8d5e1d0f90ec9984e53922ed722

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERY833f4694879b31aad952f2e0cedc6b44
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Connected space Contractible space
wiki page sort key: Contractible space# QUERY833f4694879b31aad952f2e0cedc6b44

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERYe1f818205342b66e76edea1efb741b07
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Acyclic space Contractible space
wiki page sort key: Contractible space# QUERYe1f818205342b66e76edea1efb741b07

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERY9b3add5b5c21d63ea2909a1ab3a8b4e6
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Acyclic space Contractible space
wiki page sort key: Contractible space# QUERY9b3add5b5c21d63ea2909a1ab3a8b4e6

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERY33038cd8de1f2b9eb437ab2a318a39b1
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Rationally acyclic space Contractible space
wiki page sort key: Contractible space# QUERY33038cd8de1f2b9eb437ab2a318a39b1

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERYf6a887595f55f909a3bf70111c593e93
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Rationally acyclic space Contractible space
wiki page sort key: Contractible space# QUERYf6a887595f55f909a3bf70111c593e93

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERYfe4e74a9e253709730c9568a5ca19d5c
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Space with Euler characteristic one Contractible space
wiki page sort key: Contractible space# QUERYfe4e74a9e253709730c9568a5ca19d5c

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractible_space-23_QUERY327d4c8ad10f5b54f1249b12c4371ff7
type: Subject
master page: Contractible space
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Space with Euler characteristic one Contractible space
wiki page sort key: Contractible space# QUERY327d4c8ad10f5b54f1249b12c4371ff7

2-sphere
type: Subject
page: https://topospaces.subwiki.org/wiki/2-2Dsphere
wiki namespace: 0
wiki page content language: en
dissatisfies property: Contractible space
wiki page sort key: 2-sphere

Real projective plane
type: Subject
page: https://topospaces.subwiki.org/wiki/Real_projective_plane
wiki namespace: 0
wiki page content language: en
dissatisfies property: Contractible space
wiki page sort key: Real projective plane

2-torus
type: Subject
page: https://topospaces.subwiki.org/wiki/2-2Dtorus
wiki namespace: 0
wiki page content language: en
dissatisfies property: Contractible space
wiki page sort key: 2-torus

Genus two surface
type: Subject
page: https://topospaces.subwiki.org/wiki/Genus_two_surface
wiki namespace: 0
wiki page content language: en
dissatisfies property: Contractible space
wiki page sort key: Genus two surface

Real projective three-dimensional space
type: Subject
page: https://topospaces.subwiki.org/wiki/Real_projective_three-2Ddimensional_space
wiki namespace: 0
wiki page content language: en
dissatisfies property: Contractible space
wiki page sort key: Real projective three-dimensional space

Product of 2-sphere and circle
type: Subject
page: https://topospaces.subwiki.org/wiki/Product_of_2-2Dsphere_and_circle
wiki namespace: 0
wiki page content language: en
dissatisfies property: Contractible space
wiki page sort key: Product of 2-sphere and circle

Product of two 2-spheres
type: Subject
page: https://topospaces.subwiki.org/wiki/Product_of_two_2-2Dspheres
wiki namespace: 0
wiki page content language: en
dissatisfies property: Contractible space
wiki page sort key: Product of two 2-spheres

Product of real projective plane and circle
type: Subject
page: https://topospaces.subwiki.org/wiki/Product_of_real_projective_plane_and_circle
wiki namespace: 0
wiki page content language: en
dissatisfies property: Contractible space
wiki page sort key: Product of real projective plane and circle

Product of 2-sphere and real projective plane
type: Subject
page: https://topospaces.subwiki.org/wiki/Product_of_2-2Dsphere_and_real_projective_plane
wiki namespace: 0
wiki page content language: en
dissatisfies property: Contractible space
wiki page sort key: Product of 2-sphere and real projective plane

Product of 3-sphere and circle
type: Subject
page: https://topospaces.subwiki.org/wiki/Product_of_3-2Dsphere_and_circle
wiki namespace: 0
wiki page content language: en
dissatisfies property: Contractible space
wiki page sort key: Product of 3-sphere and circle

Product of 2-sphere and 2-torus
type: Subject
page: https://topospaces.subwiki.org/wiki/Product_of_2-2Dsphere_and_2-2Dtorus
wiki namespace: 0
wiki page content language: en
dissatisfies property: Contractible space
wiki page sort key: Product of 2-sphere and 2-torus

Sierpiński space
type: Subject
page: https://topospaces.subwiki.org/wiki/Sierpiński_space
wiki namespace: 0
wiki page content language: en
satisfies property: Contractible space
wiki page sort key: Sierpiński space

Pair of intersecting lines
type: Subject
page: https://topospaces.subwiki.org/wiki/Pair_of_intersecting_lines
wiki namespace: 0
wiki page content language: en
satisfies property: Contractible space
wiki page sort key: Pair of intersecting lines

Topologically star-like space
type: Subject
page: https://topospaces.subwiki.org/wiki/Topologically_star-2Dlike_space
wiki namespace: 0
wiki page content language: en
stronger than: Contractible space
wiki page sort key: Topologically star-like space

Equiconnected space
type: Subject
page: https://topospaces.subwiki.org/wiki/Equiconnected_space
wiki namespace: 0
wiki page content language: en
stronger than: Contractible space
wiki page sort key: Equiconnected space

Space in which every retraction is a deformation retraction
type: Subject
page: https://topospaces.subwiki.org/wiki/Space_in_which_every_retraction_is_a_deformation_retraction
wiki namespace: 0
wiki page content language: en
stronger than: Contractible space
wiki page sort key: Space in which every retraction is a deformation retraction

Indiscrete space
type: Subject
page: https://topospaces.subwiki.org/wiki/Indiscrete_space
wiki namespace: 0
wiki page content language: en
stronger than: Contractible space
wiki page sort key: Indiscrete space

Contractible manifold
type: Subject
page: https://topospaces.subwiki.org/wiki/Contractible_manifold
wiki namespace: 0
wiki page content language: en
stronger than: Contractible space
wiki page sort key: Contractible manifold

Nonempty topologically convex space
type: Subject
page: https://topospaces.subwiki.org/wiki/Nonempty_topologically_convex_space
wiki namespace: 0
wiki page content language: en
stronger than: Contractible space
wiki page sort key: Nonempty topologically convex space

Weakly contractible space
type: Subject
page: https://topospaces.subwiki.org/wiki/Weakly_contractible_space
wiki namespace: 0
wiki page content language: en
variation of: Contractible space
wiki page sort key: Weakly contractible space
weaker than: Contractible space

Locally contractible space
type: Subject
page: https://topospaces.subwiki.org/wiki/Locally_contractible_space
wiki namespace: 0
wiki page content language: en
variation of: Contractible space
wiki page sort key: Locally contractible space

Connected space
type: Subject
page: https://topospaces.subwiki.org/wiki/Connected_space
wiki namespace: 0
wiki page content language: en
weaker than: Contractible space
wiki page sort key: Connected space

Simply connected space
type: Subject
page: https://topospaces.subwiki.org/wiki/Simply_connected_space
wiki namespace: 0
wiki page content language: en
weaker than: Contractible space
wiki page sort key: Simply connected space

Acyclic space
type: Subject
page: https://topospaces.subwiki.org/wiki/Acyclic_space
wiki namespace: 0
wiki page content language: en
weaker than: Contractible space
wiki page sort key: Acyclic space

Space with Euler characteristic one
type: Subject
page: https://topospaces.subwiki.org/wiki/Space_with_Euler_characteristic_one
wiki namespace: 0
wiki page content language: en
weaker than: Contractible space
wiki page sort key: Space with Euler characteristic one

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractibility_is_product-2Dclosed-23_2a088099edc03c26f21a59e2ada32ffe
type: Subject
master page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractibility_is_product-2Dclosed
wiki namespace: 0
wiki page sort key: Contractibility is product-closed#Contractible space;1# 2a088099edc03c26f21a59e2ada32ffe
page: Contractible space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractibility_is_retract-2Dhereditary-23_2a088099edc03c26f21a59e2ada32ffe
type: Subject
master page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractibility_is_retract-2Dhereditary
wiki namespace: 0
wiki page sort key: Contractibility is retract-hereditary#Contractible space;1# 2a088099edc03c26f21a59e2ada32ffe
page: Contractible space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Simply_connected_not_implies_contractible-23_d539afbeddbbff1a602bee37b1483a25
type: Subject
master page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Simply_connected_not_implies_contractible
wiki namespace: 0
wiki page sort key: Simply connected not implies contractible#Contractible space# d539afbeddbbff1a602bee37b1483a25
page: Contractible space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Star-2Dlike_implies_contractible-23_d547411238db4ace488d771d08d6c052
type: Subject
master page: Star-like implies contractible
wiki namespace: 0
wiki page sort key: Star-like implies contractible#Contractible space;2# d547411238db4ace488d771d08d6c052
page: Contractible space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Suspension_of_contractible_space_is_contractible-23_2a088099edc03c26f21a59e2ada32ffe
type: Subject
master page: Suspension of contractible space is contractible
wiki namespace: 0
wiki page sort key: Suspension of contractible space is contractible#Contractible space;1# 2a088099edc03c26f21a59e2ada32ffe
page: Contractible space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractibility_is_not_closure-2Dpreserved-23_2a088099edc03c26f21a59e2ada32ffe
type: Subject
master page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Contractibility_is_not_closure-2Dpreserved
wiki namespace: 0
wiki page sort key: Contractibility is not closure-preserved#Contractible space;1# 2a088099edc03c26f21a59e2ada32ffe
page: Contractible space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Equiconnected_implies_contractible-23_d547411238db4ace488d771d08d6c052
type: Subject
master page: Equiconnected implies contractible
wiki namespace: 0
wiki page sort key: Equiconnected implies contractible#Contractible space;2# d547411238db4ace488d771d08d6c052
page: Contractible space

Star-like implies contractible
type: Subject
page: https://topospaces.subwiki.org/wiki/Star-2Dlike_implies_contractible
wiki namespace: 0
wiki page content language: en
proves property satisfaction of: Contractible space
wiki page sort key: Star-like implies contractible

Suspension of contractible space is contractible
type: Subject
page: https://topospaces.subwiki.org/wiki/Suspension_of_contractible_space_is_contractible
wiki namespace: 0
wiki page content language: en
proves property satisfaction of: Contractible space
wiki page sort key: Suspension of contractible space is contractible
uses property satisfaction of: Contractible space

Equiconnected implies contractible
type: Subject
page: https://topospaces.subwiki.org/wiki/Equiconnected_implies_contractible
wiki namespace: 0
wiki page content language: en
proves property satisfaction of: Contractible space
wiki page sort key: Equiconnected implies contractible

Dissatisfies property
type: ObjectProperty
page: https://topospaces.subwiki.org/wiki/Property-3ADissatisfies_property
wiki namespace: 132
wiki page content language: en
wiki page sort key: Dissatisfies property

Satisfies property
type: ObjectProperty
page: https://topospaces.subwiki.org/wiki/Property-3ASatisfies_property
wiki namespace: 132
wiki page content language: en
wiki page sort key: Satisfies property

Stronger than
type: ObjectProperty
page: https://topospaces.subwiki.org/wiki/Property-3AStronger_than
wiki namespace: 132
wiki page content language: en
wiki page sort key: Stronger than

Variation of
type: ObjectProperty
page: https://topospaces.subwiki.org/wiki/Property-3AVariation_of
wiki namespace: 132
wiki page content language: en
wiki page sort key: Variation of

Weaker than
type: ObjectProperty
page: https://topospaces.subwiki.org/wiki/Property-3AWeaker_than
wiki namespace: 132
wiki page content language: en
wiki page sort key: Weaker than

Page
type: ObjectProperty
page: https://topospaces.subwiki.org/wiki/Property-3APage
wiki namespace: 132
wiki page content language: en
wiki page sort key: Page

Proves property satisfaction of
type: ObjectProperty
page: https://topospaces.subwiki.org/wiki/Property-3AProves_property_satisfaction_of
wiki namespace: 132
wiki page content language: en
wiki page sort key: Proves property satisfaction of

Uses property satisfaction of
type: ObjectProperty
page: https://topospaces.subwiki.org/wiki/Property-3AUses_property_satisfaction_of
wiki namespace: 132
wiki page content language: en
wiki page sort key: Uses property satisfaction of