Monotonically normal space
type: Ontology
creation date: 2026-02-20T15:34:47+00:00
imports: http://semantic-mediawiki.org/swivt/1.0

Monotonically normal space
type: Subject
type: Category:Properties of topological spaces
page: https://topospaces.subwiki.org/wiki/Monotonically_normal_space
wiki namespace: 0
wiki page content language: en
satisfies metaproperty: Weakly hereditary property of topological spaces
satisfies metaproperty: Subspace-hereditary property of topological spaces
stronger than: Normal space
stronger than: Hausdorff space
stronger than: Collectionwise Hausdorff space
stronger than: Collectionwise normal space
stronger than: Hereditarily collectionwise normal space
stronger than: Completely regular space
stronger than: Hereditarily normal space
stronger than: Regular space
stronger than: Urysohn space
variation of: Normal space
weaker than: Manifold
weaker than: Ordered field-metrizable space
weaker than: Closed sub-Euclidean space
weaker than: Metrizable space
weaker than: Elastic space
weaker than: Linearly orderable space
wiki page modification date: 2012-01-24T22:27:16Z
modification date#aux: 2455951.4356019
wiki page sort key: Monotonically normal space

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type: Subject
master page: Monotonically normal space
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query depth: 1
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query size: 2
query string: Normality
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query string: Monotonically normal space Metrizable space
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query string: Monotonically normal space Metrizable space
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master page: Monotonically normal space
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query string: Monotonically normal space Ordered field-metrizable space
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master page: Monotonically normal space
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master page: Monotonically normal space
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master page: Monotonically normal space
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query string: Monotonically normal space Manifold
wiki page sort key: Monotonically normal space# QUERYbce79e71bf58df3d109edd7275438fac

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master page: Monotonically normal space
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query string: Collectionwise normal space Monotonically normal space
wiki page sort key: Monotonically normal space# QUERY12deec467b950f30ef83e4f79b0eb2bc

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master page: Monotonically normal space
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query string: Hereditarily collectionwise normal space Monotonically normal space
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master page: Monotonically normal space
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master page: Monotonically normal space
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query string: Completely regular space Monotonically normal space
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type: Subject
master page: Monotonically normal space
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query string: Completely regular space Monotonically normal space
wiki page sort key: Monotonically normal space# QUERY6ec7b2ff667a99f0e229b40cbe1bad7a

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type: Subject
master page: Monotonically normal space
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query string: Regular space Monotonically normal space
wiki page sort key: Monotonically normal space# QUERY69fa34150d28db2b69d527adbc18c485

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type: Subject
master page: Monotonically normal space
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query string: Regular space Monotonically normal space
wiki page sort key: Monotonically normal space# QUERY8be0d90589122676696d6e8e19dd1a61

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master page: Monotonically normal space
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query string: Hausdorff space Monotonically normal space
wiki page sort key: Monotonically normal space# QUERYfc8f402ee72334653fad632a5c0e0fde

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type: Subject
master page: Monotonically normal space
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query string: Hausdorff space Monotonically normal space
wiki page sort key: Monotonically normal space# QUERYfd8d32d5d340eecbb6af30a4fdae7418

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type: Subject
master page: Monotonically normal space
wiki namespace: 0
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query string: Urysohn space Monotonically normal space
wiki page sort key: Monotonically normal space# QUERY7de065b046b621ff36d18faa8dc5ee25

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type: Subject
master page: Monotonically normal space
wiki namespace: 0
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query string: Urysohn space Monotonically normal space
wiki page sort key: Monotonically normal space# QUERY29853e23a745016858c4db97d45fb69e

http://topospaces.subwiki.org/wiki/Special:URIResolver/Monotonically_normal_space-23_QUERY8d0981d1b0cc3c9f9ba0a9076141f1eb
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master page: Monotonically normal space
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wiki page sort key: Monotonically normal space# QUERY8d0981d1b0cc3c9f9ba0a9076141f1eb

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type: Subject
master page: Monotonically normal space
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http://topospaces.subwiki.org/wiki/Special:URIResolver/Monotonically_normal_space-23_QUERYb326b276413d8b38ba2330c48240d5f6
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master page: Monotonically normal space
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query string: Subspace-hereditary property of topological spaces
wiki page sort key: Monotonically normal space# QUERYb326b276413d8b38ba2330c48240d5f6

Sorgenfrey line
type: Subject
page: https://topospaces.subwiki.org/wiki/Sorgenfrey_line
wiki namespace: 0
wiki page content language: en
satisfies property: Monotonically normal space
wiki page sort key: Sorgenfrey line

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

Discrete space
type: Subject
page: https://topospaces.subwiki.org/wiki/Discrete_space
wiki namespace: 0
wiki page content language: en
stronger than: Monotonically normal space
wiki page sort key: Discrete space

Linearly stratifiable space
type: Subject
page: https://topospaces.subwiki.org/wiki/Linearly_stratifiable_space
wiki namespace: 0
wiki page content language: en
stronger than: Monotonically normal space
wiki page sort key: Linearly stratifiable space

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

Metrizable space
type: Subject
page: https://topospaces.subwiki.org/wiki/Metrizable_space
wiki namespace: 0
wiki page content language: en
stronger than: Monotonically normal space
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
stronger than: Monotonically normal space
wiki page sort key: Elastic space

Linearly orderable space
type: Subject
page: https://topospaces.subwiki.org/wiki/Linearly_orderable_space
wiki namespace: 0
wiki page content language: en
stronger than: Monotonically normal space
wiki page sort key: Linearly orderable space

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

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

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

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

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

http://topospaces.subwiki.org/wiki/Special:URIResolver/Monotonically_normal_implies_normal-23_70636c97f99540dea730e49ff9462110
type: Subject
master page: Monotonically normal implies normal
wiki namespace: 0
wiki page sort key: Monotonically normal implies normal#Monotonically normal space;2# 70636c97f99540dea730e49ff9462110
page: Monotonically normal space

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type: Subject
master page: Monotonically normal implies collectionwise normal
wiki namespace: 0
wiki page sort key: Monotonically normal implies collectionwise normal#Monotonically normal space;2# 70636c97f99540dea730e49ff9462110
page: Monotonically normal space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Monotone_normality_is_hereditary-23_6fa4739fffe7dd77340e10ab9f9b0d28
type: Subject
master page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Monotone_normality_is_hereditary
wiki namespace: 0
wiki page sort key: Monotone normality is hereditary#Monotonically normal space;1# 6fa4739fffe7dd77340e10ab9f9b0d28
page: Monotonically normal space

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type: Subject
master page: Monotonically normal implies hereditarily normal
wiki namespace: 0
wiki page sort key: Monotonically normal implies hereditarily normal#Monotonically normal space;2# 70636c97f99540dea730e49ff9462110
page: Monotonically normal space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Monotonically_normal_implies_hereditarily_collectionwise_normal-23_70636c97f99540dea730e49ff9462110
type: Subject
master page: Monotonically normal implies hereditarily collectionwise normal
wiki namespace: 0
wiki page sort key: Monotonically normal implies hereditarily collectionwise normal#Monotonically normal space;2# 70636c97f99540dea730e49ff9462110
page: Monotonically normal space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Metrizable_implies_monotonically_normal-23_70636c97f99540dea730e49ff9462110
type: Subject
master page: Metrizable implies monotonically normal
wiki namespace: 0
wiki page sort key: Metrizable implies monotonically normal#Monotonically normal space;2# 70636c97f99540dea730e49ff9462110
page: Monotonically normal space

Metrizable implies monotonically normal
type: Subject
page: https://topospaces.subwiki.org/wiki/Metrizable_implies_monotonically_normal
wiki namespace: 0
wiki page content language: en
proves property satisfaction of: Monotonically normal space
wiki page sort key: Metrizable implies monotonically normal

Monotonically normal implies normal
type: Subject
page: https://topospaces.subwiki.org/wiki/Monotonically_normal_implies_normal
wiki namespace: 0
wiki page content language: en
uses property satisfaction of: Monotonically normal space
wiki page sort key: Monotonically normal implies normal

Monotonically normal implies collectionwise normal
type: Subject
page: https://topospaces.subwiki.org/wiki/Monotonically_normal_implies_collectionwise_normal
wiki namespace: 0
wiki page content language: en
uses property satisfaction of: Monotonically normal space
wiki page sort key: Monotonically normal implies collectionwise normal

Monotonically normal implies hereditarily normal
type: Subject
page: https://topospaces.subwiki.org/wiki/Monotonically_normal_implies_hereditarily_normal
wiki namespace: 0
wiki page content language: en
uses property satisfaction of: Monotonically normal space
wiki page sort key: Monotonically normal implies hereditarily normal

Monotonically normal implies hereditarily collectionwise normal
type: Subject
page: https://topospaces.subwiki.org/wiki/Monotonically_normal_implies_hereditarily_collectionwise_normal
wiki namespace: 0
wiki page content language: en
uses property satisfaction of: Monotonically normal space
wiki page sort key: Monotonically normal implies hereditarily collectionwise normal

Hereditarily monotonically normal space
type: Subject
page: https://topospaces.subwiki.org/wiki/Hereditarily_monotonically_normal_space
wiki namespace: 0
wiki page content language: en
redirects to: Monotonically normal space
wiki page sort key: Hereditarily monotonically normal space

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

REDI
type: DatatypeProperty
page: https://topospaces.subwiki.org/wiki/Property-3A_REDI
wiki namespace: 132
wiki page content language: en
wiki page sort key: REDI