Simply connected space
type: Ontology
creation date: 2026-08-13T20:02:21+00:00
imports: http://semantic-mediawiki.org/swivt/1.0

Simply connected space
type: Subject
type: Category:Retract-hereditary properties of topological spaces
type: Category:Properties of topological spaces determined by fundamental group
type: Category:Properties of topological spaces for an associated group being a trivial group
type: Category:Properties of topological spaces
type: Category:Homotopy-invariant properties of topological spaces
page: https://topospaces.subwiki.org/wiki/Simply_connected_space
wiki namespace: 0
wiki page content language: en
satisfies metaproperty: Product-closed property of topological spaces
stronger than: Semilocally simply connected space
stronger than: Simple space
stronger than: Space with abelian fundamental group
stronger than: Space with perfect fundamental group
weaker than: Multiply connected space
weaker than: Contractible space
weaker than: Weakly contractible space
wiki page modification date: 2009-10-25T15:42:01Z
modification date#aux: 2455130.1541782
wiki page sort key: Simply connected space

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master page: Simply connected space
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master page: Simply connected space
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query string: [[Stronger than::Simply connected space]] [[Weaker than::Contractible space]]
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master page: Simply connected space
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query string: [[Stronger than::Simply connected space]] [[Weaker than::Weakly contractible space]]
wiki page sort key: Simply connected space# QUERYea27fd93fda4094f1430c57840ea6ca8

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master page: Simply connected space
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query string: [[Stronger than::Simply connected space]] [[Weaker than::Weakly contractible space]]
wiki page sort key: Simply connected space# QUERYc848fbd2353c9d5aa414eeb044310645

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type: Subject
master page: Simply connected space
wiki namespace: 0
query depth: 1
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query size: 4
query string: [[Stronger than::Simple space]] [[Weaker than::Simply connected space]]
wiki page sort key: Simply connected space# QUERY4161c5d3e51d710dc9ad165f1e6ac110

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type: Subject
master page: Simply connected space
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type: Subject
master page: Simply connected space
wiki namespace: 0
query depth: 1
query format: plainlist
query size: 2
query string: [[Satisfies metaproperty::Product-closed property of topological spaces]]
wiki page sort key: Simply connected space# QUERY16def391af487398c37dcba29f2a0ba2

Real projective plane
type: Subject
page: https://topospaces.subwiki.org/wiki/Real_projective_plane
wiki namespace: 0
wiki page content language: en
dissatisfies property: Simply connected 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: Simply connected space
wiki page sort key: 2-torus

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: Simply connected 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: Simply connected space
wiki page sort key: Product of 2-sphere and circle

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: Simply connected 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: Simply connected 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: Simply connected 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: Simply connected space
wiki page sort key: Product of 2-sphere and 2-torus

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

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

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
satisfies property: Simply connected space
wiki page sort key: Product of two 2-spheres

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

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

Weakly contractible space
type: Subject
page: https://topospaces.subwiki.org/wiki/Weakly_contractible_space
wiki namespace: 0
wiki page content language: en
stronger than: Simply connected space
wiki page sort key: Weakly contractible space

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

http://topospaces.subwiki.org/wiki/Special:URIResolver/Hurewicz_theorem-23_7e57b445bc67e455429d5c2bf9025944
type: Subject
master page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Hurewicz_theorem
wiki namespace: 0
wiki page sort key: Hurewicz theorem#Simply connected space# 7e57b445bc67e455429d5c2bf9025944
page: Simply connected space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Simply_connected_not_implies_contractible-23_7e57b445bc67e455429d5c2bf9025944
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#Simply connected space# 7e57b445bc67e455429d5c2bf9025944
page: Simply connected space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Union_of_two_simply_connected_open_subsets_with_path-2Dconnected_intersection_is_simply_connected-23_7e57b445bc67e455429d5c2bf9025944
type: Subject
master page: Union of two simply connected open subsets with path-connected intersection is simply connected
wiki namespace: 0
wiki page sort key: Union of two simply connected open subsets with path-connected intersection is simply connected#Simply connected space# 7e57b445bc67e455429d5c2bf9025944
page: Simply connected space

http://topospaces.subwiki.org/wiki/Special:URIResolver/N-2Dsphere_is_simply_connected_for_n_greater_than_1-23_7e57b445bc67e455429d5c2bf9025944
type: Subject
master page: N-sphere is simply connected for n greater than 1
wiki namespace: 0
wiki page sort key: N-sphere is simply connected for n greater than 1#Simply connected space# 7e57b445bc67e455429d5c2bf9025944
page: Simply connected space

http://topospaces.subwiki.org/wiki/Special:URIResolver/N-2Dsphere_is_-28n-2D1-29-2Dconnected-23_7e57b445bc67e455429d5c2bf9025944
type: Subject
master page: http://topospaces.subwiki.org/wiki/Special:URIResolver/N-2Dsphere_is_-28n-2D1-29-2Dconnected
wiki namespace: 0
wiki page sort key: N-sphere is (n-1)-connected#Simply connected space# 7e57b445bc67e455429d5c2bf9025944
page: Simply connected space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Suspension_of_path-2Dconnected_space_is_simply_connected-23_7e57b445bc67e455429d5c2bf9025944
type: Subject
master page: Suspension of path-connected space is simply connected
wiki namespace: 0
wiki page sort key: Suspension of path-connected space is simply connected#Simply connected space# 7e57b445bc67e455429d5c2bf9025944
page: Simply connected space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Connected_sum_of_simply_connected_manifolds_is_simply_connected-23_7e57b445bc67e455429d5c2bf9025944
type: Subject
master page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Connected_sum_of_simply_connected_manifolds_is_simply_connected
wiki namespace: 0
wiki page sort key: Connected sum of simply connected manifolds is simply connected#Simply connected space# 7e57b445bc67e455429d5c2bf9025944
page: Simply connected space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Homology_groups_and_fundamental_group_need_not_determine_homotopy_groups-23_7e57b445bc67e455429d5c2bf9025944
type: Subject
master page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Homology_groups_and_fundamental_group_need_not_determine_homotopy_groups
wiki namespace: 0
wiki page sort key: Homology groups and fundamental group need not determine homotopy groups#Simply connected space# 7e57b445bc67e455429d5c2bf9025944
page: Simply connected space

N-sphere is simply connected for n greater than 1
type: Subject
page: https://topospaces.subwiki.org/wiki/N-2Dsphere_is_simply_connected_for_n_greater_than_1
wiki namespace: 0
wiki page content language: en
proves property satisfaction of: Simply connected space
wiki page sort key: N-sphere is simply connected for n greater than 1

Suspension of path-connected space is simply connected
type: Subject
page: https://topospaces.subwiki.org/wiki/Suspension_of_path-2Dconnected_space_is_simply_connected
wiki namespace: 0
wiki page content language: en
proves property satisfaction of: Simply connected space
wiki page sort key: Suspension of path-connected space is simply connected

Union of two simply connected open subsets with path-connected intersection is simply connected
type: Subject
page: https://topospaces.subwiki.org/wiki/Union_of_two_simply_connected_open_subsets_with_path-2Dconnected_intersection_is_simply_connected
wiki namespace: 0
wiki page content language: en
uses property satisfaction of: Simply connected space
wiki page sort key: Union of two simply connected open subsets with path-connected intersection is simply connected

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

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