Manifold
type: Ontology
creation date: 2025-11-25T01:30:55+00:00
imports: http://semantic-mediawiki.org/swivt/1.0

Manifold
type: Subject
type: Category:Properties of topological spaces closed under finite products
type: Category:Covering space-closed properties of topological spaces
type: Category:Properties of topological spaces
type: Category:Articles with Diffgeom versions
type: Category:Pivotal properties of topological spaces
page: https://topospaces.subwiki.org/wiki/Manifold
wiki namespace: 0
wiki page content language: en
defining ingredient: Second-countable space
defining ingredient: Hausdorff space
satisfies metaproperty: Fiber bundle-closed property of topological spaces
stronger than: Homology manifold
stronger than: Manifold with boundary
stronger than: Locally Euclidean space
stronger than: Locally metrizable space
stronger than: Nondegenerate space
stronger than: Sub-Euclidean space
stronger than: Normal space
stronger than: Paracompact Hausdorff space
stronger than: Hausdorff space
stronger than: Locally contractible space
stronger than: Metrizable space
stronger than: Locally compact space
stronger than: Compactly nondegenerate space
stronger than: Regular space
weaker than: Connected manifold
weaker than: Compact connected manifold
weaker than: Differentiable manifold
weaker than: Manifold admitting a PL structure
weaker than: Triangulable manifold
weaker than: Lie group as a topological space
weaker than: Compact manifold
wiki page modification date: 2016-06-22T19:57:45Z
modification date#aux: 2457562.3317708
wiki page sort key: Manifold

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master page: Manifold
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wiki page sort key: Manifold#Munkres
page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Book-3AMunkres

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query string: Manifold Connected manifold
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query string: Manifold Manifold admitting a PL structure
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query string: Manifold Manifold admitting a PL structure
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query string: Homology manifold Manifold
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query string: Manifold with boundary Manifold
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query string: Manifold with boundary Manifold
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type: Subject
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query string: Closed sub-Euclidean space Manifold
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query string: Closed sub-Euclidean space Manifold
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master page: Manifold
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query string: Metrizable space Manifold
wiki page sort key: Manifold# QUERY4c568fafff66decd751fb0c30f46a355

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query string: Metrizable space Manifold
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query string: Paracompact Hausdorff space Manifold
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query string: Paracompact Hausdorff space Manifold
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query string: Normal space Manifold
wiki page sort key: Manifold# QUERY4cf6e2023998962b6cca39803340b5c0

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query string: Normal space Manifold
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master page: Manifold
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query string: Regular space Manifold
wiki page sort key: Manifold# QUERYd67968a3c3fe946d58dddcd80594d507

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query string: Regular space Manifold
wiki page sort key: Manifold# QUERY9c48fad316b7d1fd7b00324e4952d3bd

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query string: Hausdorff space Manifold
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query string: Hausdorff space Manifold
wiki page sort key: Manifold# QUERYca22dacff495154c7f373baccc7dd808

http://topospaces.subwiki.org/wiki/Special:URIResolver/Manifold-23_QUERYc6aac9649952ccf28ac881b08e4e35e2
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query string: Locally Euclidean space Manifold
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query string: Locally Euclidean space Manifold
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query string: Locally compact space Manifold
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query string: Locally compact space Manifold
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query string: Nondegenerate space Manifold
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query string: Nondegenerate space Manifold
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query string: Compactly nondegenerate space Manifold
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type: Subject
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query size: 2
query string: Fiber bundle-closed property of topological spaces
wiki page sort key: Manifold# QUERY250bdae0539efa746b977c7ce6ce96e2

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

2-sphere
type: Subject
page: https://topospaces.subwiki.org/wiki/2-2Dsphere
wiki namespace: 0
wiki page content language: en
satisfies property: Manifold
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
satisfies property: Manifold
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
satisfies property: Manifold
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
satisfies property: Manifold
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
satisfies property: Manifold
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
satisfies property: Manifold
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
satisfies property: Manifold
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
satisfies property: Manifold
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
satisfies property: Manifold
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
satisfies property: Manifold
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
satisfies property: Manifold
wiki page sort key: Product of 2-sphere and 2-torus

Connected manifold
type: Subject
page: https://topospaces.subwiki.org/wiki/Connected_manifold
wiki namespace: 0
wiki page content language: en
stronger than: Manifold
wiki page sort key: Connected manifold

Differentiable manifold
type: Subject
page: https://topospaces.subwiki.org/wiki/Differentiable_manifold
wiki namespace: 0
wiki page content language: en
stronger than: Manifold
wiki page sort key: Differentiable manifold

Triangulable manifold
type: Subject
page: https://topospaces.subwiki.org/wiki/Triangulable_manifold
wiki namespace: 0
wiki page content language: en
stronger than: Manifold
wiki page sort key: Triangulable manifold

Homology manifold
type: Subject
page: https://topospaces.subwiki.org/wiki/Homology_manifold
wiki namespace: 0
wiki page content language: en
weaker than: Manifold
wiki page sort key: Homology manifold

Locally Euclidean space
type: Subject
page: https://topospaces.subwiki.org/wiki/Locally_Euclidean_space
wiki namespace: 0
wiki page content language: en
weaker than: Manifold
wiki page sort key: Locally Euclidean space

Nondegenerate space
type: Subject
page: https://topospaces.subwiki.org/wiki/Nondegenerate_space
wiki namespace: 0
wiki page content language: en
weaker than: Manifold
wiki page sort key: Nondegenerate space

Submetrizable space
type: Subject
page: https://topospaces.subwiki.org/wiki/Submetrizable_space
wiki namespace: 0
wiki page content language: en
weaker than: Manifold
wiki page sort key: Submetrizable space

Locally connected space
type: Subject
page: https://topospaces.subwiki.org/wiki/Locally_connected_space
wiki namespace: 0
wiki page content language: en
weaker than: Manifold
wiki page sort key: Locally connected space

Separable space
type: Subject
page: https://topospaces.subwiki.org/wiki/Separable_space
wiki namespace: 0
wiki page content language: en
weaker than: Manifold
wiki page sort key: Separable space

Protometrizable space
type: Subject
page: https://topospaces.subwiki.org/wiki/Protometrizable_space
wiki namespace: 0
wiki page content language: en
weaker than: Manifold
wiki page sort key: Protometrizable space

Paracompact Hausdorff space
type: Subject
page: https://topospaces.subwiki.org/wiki/Paracompact_Hausdorff_space
wiki namespace: 0
wiki page content language: en
weaker than: Manifold
wiki page sort key: Paracompact Hausdorff space

Hausdorff space
type: Subject
page: https://topospaces.subwiki.org/wiki/Hausdorff_space
wiki namespace: 0
wiki page content language: en
weaker than: Manifold
wiki page sort key: Hausdorff space

Locally contractible space
type: Subject
page: https://topospaces.subwiki.org/wiki/Locally_contractible_space
wiki namespace: 0
wiki page content language: en
weaker than: Manifold
wiki page sort key: Locally contractible space

Metrizable space
type: Subject
page: https://topospaces.subwiki.org/wiki/Metrizable_space
wiki namespace: 0
wiki page content language: en
weaker than: Manifold
wiki page sort key: Metrizable space

Elastic space
type: Subject
page: https://topospaces.subwiki.org/wiki/Elastic_space
wiki namespace: 0
wiki page content language: en
weaker than: Manifold
wiki page sort key: Elastic space

Monotonically normal space
type: Subject
page: https://topospaces.subwiki.org/wiki/Monotonically_normal_space
wiki namespace: 0
wiki page content language: en
weaker than: Manifold
wiki page sort key: Monotonically normal space

Paracompact space
type: Subject
page: https://topospaces.subwiki.org/wiki/Paracompact_space
wiki namespace: 0
wiki page content language: en
weaker than: Manifold
wiki page sort key: Paracompact space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Manifold_implies_nondegenerate-23_8c134ba1bde96d115dbf68c85e2f6b11
type: Subject
master page: Manifold implies nondegenerate
wiki namespace: 0
wiki page sort key: Manifold implies nondegenerate#Manifold;2# 8c134ba1bde96d115dbf68c85e2f6b11
page: Manifold

http://topospaces.subwiki.org/wiki/Special:URIResolver/Poincare_polynomial_of_fiber_product_need_not_equal_product_of_Poincare_polynomials-23_bab9485c8edba9f4188ada4b1fcecbac
type: Subject
master page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Poincare_polynomial_of_fiber_product_need_not_equal_product_of_Poincare_polynomials
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wiki page sort key: Poincare polynomial of fiber product need not equal product of Poincare polynomials#Manifold# bab9485c8edba9f4188ada4b1fcecbac
page: Manifold

Manifold implies nondegenerate
type: Subject
page: https://topospaces.subwiki.org/wiki/Manifold_implies_nondegenerate
wiki namespace: 0
wiki page content language: en
uses property satisfaction of: Manifold
wiki page sort key: Manifold implies nondegenerate

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
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wiki page sort key: Page

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