Normal space
type: Ontology
creation date: 2025-11-10T13:20:06+00:00
imports: http://semantic-mediawiki.org/swivt/1.0

Normal space
type: Subject
page: https://topospaces.subwiki.org/wiki/Normal_space
wiki namespace: 0
wiki page content language: en
defining ingredient: Point-finite collection
weaker than: Ultraconnected space
weaker than: Normal Hausdorff space
weaker than: Regular Lindelof space
weaker than: Compact Hausdorff space
weaker than: Paracompact Hausdorff space
weaker than: CW-space
weaker than: Perfectly normal space
weaker than: Metrizable space
weaker than: Collectionwise normal space
weaker than: Linearly orderable space
weaker than: Monotonically normal space
weaker than: Hereditarily normal space
wiki page modification date: 2016-04-20T02:27:30Z
modification date#aux: 2457498.6024306
wiki page sort key: Normal space

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal space Normal Hausdorff space
wiki page sort key: Normal space# QUERYc32da7b90e1362e9e947c48a7ce275eb

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal space Normal Hausdorff space
wiki page sort key: Normal space# QUERYa40108a1959a352a79244c1aeb33e13c

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal space Compact Hausdorff space
wiki page sort key: Normal space# QUERY95ae20ae8d8c149caca243c3353b6e86

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Normal space Compact Hausdorff space
wiki page sort key: Normal space# QUERY048e0c11eb52254ee875989f7f0827fa

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal space Hereditarily normal space
wiki page sort key: Normal space# QUERY53647c5f7e18abc7730481448f0cfb4d

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal space Hereditarily normal space
wiki page sort key: Normal space# QUERY9be62addbcb2d6f6415bc526a971869a

http://topospaces.subwiki.org/wiki/Special:URIResolver/Normal_space-23_QUERY1662dfd54918eb6305ef8ddda5717995
type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Normal space Paracompact Hausdorff space
wiki page sort key: Normal space# QUERY1662dfd54918eb6305ef8ddda5717995

http://topospaces.subwiki.org/wiki/Special:URIResolver/Normal_space-23_QUERYb07b46a8940bed7bb0ca82f400a55184
type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
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query string: Normal space Paracompact Hausdorff space
wiki page sort key: Normal space# QUERYb07b46a8940bed7bb0ca82f400a55184

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal space Regular Lindelof space
wiki page sort key: Normal space# QUERY12732635149575e59c9f351ba5a91003

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Normal space Regular Lindelof space
wiki page sort key: Normal space# QUERYb5dd16747c4d4dffe39b0abff393dc9c

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
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query string: Normal space Perfectly normal space
wiki page sort key: Normal space# QUERY14e112a48891e7226508a34c5c15787f

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type: Subject
master page: Normal space
wiki namespace: 0
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query string: Normal space Perfectly normal space
wiki page sort key: Normal space# QUERYcb13972f9ddef7b9cdf5574e827b4c3a

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Normal space Metrizable space
wiki page sort key: Normal space# QUERY2198d1b227831bd9801d4779c7a41acb

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Normal space Metrizable space
wiki page sort key: Normal space# QUERY1d09e898b8551e63d1458b92d7402aac

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
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query size: 4
query string: Normal space CW-space
wiki page sort key: Normal space# QUERY860b3f28d44e3b402b5fdce62af34ea6

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
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query string: Normal space CW-space
wiki page sort key: Normal space# QUERY76fbb6a95e7583407e014b09009c839e

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
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query string: Normal space Linearly orderable space
wiki page sort key: Normal space# QUERY75cd36b2278b0f053d6dafe01b89507e

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
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query string: Normal space Linearly orderable space
wiki page sort key: Normal space# QUERY7b707f1571199fc76d13673da9eeeaca

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
query format: list
query size: 4
query string: Normal space Ultraconnected space
wiki page sort key: Normal space# QUERY9748e6830a5013a29d75c9f0a66489f3

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type: Subject
master page: Normal space
wiki namespace: 0
query depth: 1
query format: broadtable
query size: 4
query string: Normal space Ultraconnected space
wiki page sort key: Normal space# QUERYe2eb68fa03951d0aefd1824a36c786e9

Line with two origins
type: Subject
page: https://topospaces.subwiki.org/wiki/Line_with_two_origins
wiki namespace: 0
wiki page content language: en
dissatisfies property: Normal space
wiki page sort key: Line with two origins

Moore plane
type: Subject
page: https://topospaces.subwiki.org/wiki/Moore_plane
wiki namespace: 0
wiki page content language: en
dissatisfies property: Normal space
wiki page sort key: Moore plane

Countable space with cofinite topology
type: Subject
page: https://topospaces.subwiki.org/wiki/Countable_space_with_cofinite_topology
wiki namespace: 0
wiki page content language: en
dissatisfies property: Normal space
wiki page sort key: Countable space with cofinite topology

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

Binormal space
type: Subject
page: https://topospaces.subwiki.org/wiki/Binormal_space
wiki namespace: 0
wiki page content language: en
defining ingredient: Normal space
wiki page sort key: Binormal space
stronger than: Normal space
variation of: Normal space

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

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

Ultraconnected space
type: Subject
page: https://topospaces.subwiki.org/wiki/Ultraconnected_space
wiki namespace: 0
wiki page content language: en
stronger than: Normal space
wiki page sort key: Ultraconnected 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: 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: Normal space
wiki page sort key: Protometrizable space

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

Compact Hausdorff space
type: Subject
page: https://topospaces.subwiki.org/wiki/Compact_Hausdorff_space
wiki namespace: 0
wiki page content language: en
stronger than: Normal space
wiki page sort key: Compact Hausdorff space

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

CW-space
type: Subject
page: https://topospaces.subwiki.org/wiki/CW-2Dspace
wiki namespace: 0
wiki page content language: en
stronger than: Normal space
wiki page sort key: CW-space

Perfectly normal space
type: Subject
page: https://topospaces.subwiki.org/wiki/Perfectly_normal_space
wiki namespace: 0
wiki page content language: en
stronger than: Normal space
wiki page sort key: Perfectly normal space
variation of: Normal space

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

Collectionwise normal space
type: Subject
page: https://topospaces.subwiki.org/wiki/Collectionwise_normal_space
wiki namespace: 0
wiki page content language: en
stronger than: Normal space
wiki page sort key: Collectionwise normal space
variation of: Normal space

Elastic space
type: Subject
page: https://topospaces.subwiki.org/wiki/Elastic_space
wiki namespace: 0
wiki page content language: en
stronger than: 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: Normal space
wiki page sort key: Linearly orderable space

Monotonically normal space
type: Subject
page: https://topospaces.subwiki.org/wiki/Monotonically_normal_space
wiki namespace: 0
wiki page content language: en
stronger than: Normal space
wiki page sort key: Monotonically normal space
variation of: 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
stronger than: Normal space
wiki page sort key: Hereditarily collectionwise normal space
variation of: Normal space

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

Connected normal space
type: Subject
page: https://topospaces.subwiki.org/wiki/Connected_normal_space
wiki namespace: 0
wiki page content language: en
variation of: Normal space
wiki page sort key: Connected normal space

Delta-normal space
type: Subject
page: https://topospaces.subwiki.org/wiki/Delta-2Dnormal_space
wiki namespace: 0
wiki page content language: en
variation of: Normal space
wiki page sort key: Delta-normal space

Locally normal space
type: Subject
page: https://topospaces.subwiki.org/wiki/Locally_normal_space
wiki namespace: 0
wiki page content language: en
variation of: Normal space
wiki page sort key: Locally normal space

Pseudonormal space
type: Subject
page: https://topospaces.subwiki.org/wiki/Pseudonormal_space
wiki namespace: 0
wiki page content language: en
variation of: Normal space
wiki page sort key: Pseudonormal space

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

Completely regular space
type: Subject
page: https://topospaces.subwiki.org/wiki/Completely_regular_space
wiki namespace: 0
wiki page content language: en
weaker than: Normal space
wiki page sort key: Completely regular space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Normality_is_weakly_hereditary-23_b270af824e912c50aae9d195121aa41c
type: Subject
master page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Normality_is_weakly_hereditary
wiki namespace: 0
wiki page sort key: Normality is weakly hereditary#Normal space;1# b270af824e912c50aae9d195121aa41c
page: Normal space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Urysohn-27s_lemma-23_669d2569505d422e312087b260f09fe3
type: Subject
master page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Urysohn-27s_lemma
wiki namespace: 0
wiki page sort key: Urysohn's lemma#Normal space# 669d2569505d422e312087b260f09fe3
page: Normal space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Paracompact_Hausdorff_implies_normal-23_aa633df03c356b16ae445008f60e583f
type: Subject
master page: Paracompact Hausdorff implies normal
wiki namespace: 0
wiki page sort key: Paracompact Hausdorff implies normal#Normal space;2# aa633df03c356b16ae445008f60e583f
page: Normal space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Monotonically_normal_implies_normal-23_aa633df03c356b16ae445008f60e583f
type: Subject
master page: Monotonically normal implies normal
wiki namespace: 0
wiki page sort key: Monotonically normal implies normal#Normal space;2# aa633df03c356b16ae445008f60e583f
page: Normal space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Completely_regular_not_implies_normal-23_669d2569505d422e312087b260f09fe3
type: Subject
master page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Completely_regular_not_implies_normal
wiki namespace: 0
wiki page sort key: Completely regular not implies normal#Normal space# 669d2569505d422e312087b260f09fe3
page: Normal space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Normal_Hausdorff_implies_functionally_Hausdorff-23_aa633df03c356b16ae445008f60e583f
type: Subject
master page: Normal Hausdorff implies functionally Hausdorff
wiki namespace: 0
wiki page sort key: Normal Hausdorff implies functionally Hausdorff#Normal space;2# aa633df03c356b16ae445008f60e583f
page: Normal space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Normality_is_not_hereditary-23_b270af824e912c50aae9d195121aa41c
type: Subject
master page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Normality_is_not_hereditary
wiki namespace: 0
wiki page sort key: Normality is not hereditary#Normal space;1# b270af824e912c50aae9d195121aa41c
page: Normal space

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type: Subject
master page: http://topospaces.subwiki.org/wiki/Special:URIResolver/Normality_is_not_hereditary
wiki namespace: 0
wiki page sort key: Normality is not hereditary#Normal space# 669d2569505d422e312087b260f09fe3
page: Normal space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Ultraconnected_implies_normal-23_aa633df03c356b16ae445008f60e583f
type: Subject
master page: Ultraconnected implies normal
wiki namespace: 0
wiki page sort key: Ultraconnected implies normal#Normal space;2# aa633df03c356b16ae445008f60e583f
page: Normal space

http://topospaces.subwiki.org/wiki/Special:URIResolver/CW_implies_normal-23_aa633df03c356b16ae445008f60e583f
type: Subject
master page: CW implies normal
wiki namespace: 0
wiki page sort key: CW implies normal#Normal space;2# aa633df03c356b16ae445008f60e583f
page: Normal space

http://topospaces.subwiki.org/wiki/Special:URIResolver/Compact_Hausdorff_implies_normal-23_aa633df03c356b16ae445008f60e583f
type: Subject
master page: Compact Hausdorff implies normal
wiki namespace: 0
wiki page sort key: Compact Hausdorff implies normal#Normal space;2# aa633df03c356b16ae445008f60e583f
page: Normal space

Paracompact Hausdorff implies normal
type: Subject
page: https://topospaces.subwiki.org/wiki/Paracompact_Hausdorff_implies_normal
wiki namespace: 0
wiki page content language: en
proves property satisfaction of: Normal space
wiki page sort key: Paracompact Hausdorff implies 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
proves property satisfaction of: Normal space
wiki page sort key: Monotonically normal implies normal

Ultraconnected implies normal
type: Subject
page: https://topospaces.subwiki.org/wiki/Ultraconnected_implies_normal
wiki namespace: 0
wiki page content language: en
proves property satisfaction of: Normal space
wiki page sort key: Ultraconnected implies normal

CW implies normal
type: Subject
page: https://topospaces.subwiki.org/wiki/CW_implies_normal
wiki namespace: 0
wiki page content language: en
proves property satisfaction of: Normal space
wiki page sort key: CW implies normal

Compact Hausdorff implies normal
type: Subject
page: https://topospaces.subwiki.org/wiki/Compact_Hausdorff_implies_normal
wiki namespace: 0
wiki page content language: en
proves property satisfaction of: Normal space
wiki page sort key: Compact Hausdorff implies normal

Normal Hausdorff implies functionally Hausdorff
type: Subject
page: https://topospaces.subwiki.org/wiki/Normal_Hausdorff_implies_functionally_Hausdorff
wiki namespace: 0
wiki page content language: en
uses property satisfaction of: Normal space
wiki page sort key: Normal Hausdorff implies functionally Hausdorff

Importance of normality
type: Subject
page: https://topospaces.subwiki.org/wiki/Importance_of_normality
wiki namespace: 0
wiki page content language: en
survey article about: Normal space
wiki page sort key: Importance of normality

Varying normality
type: Subject
page: https://topospaces.subwiki.org/wiki/Varying_normality
wiki namespace: 0
wiki page content language: en
survey article about: Normal space
wiki page sort key: Varying normality

Normal
type: Subject
page: https://topospaces.subwiki.org/wiki/Normal
wiki namespace: 0
wiki page content language: en
redirects to: Normal space
wiki page sort key: Normal

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

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

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

Survey article about
type: ObjectProperty
page: https://topospaces.subwiki.org/wiki/Property-3ASurvey_article_about
wiki namespace: 132
wiki page content language: en
wiki page sort key: Survey article about

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