T1 space

topological space in which all singleton sets are closed
Class type of: Kolmogorov space Q284347

Facts

5 properties
Defining formula
\forall x,y\in X\exists U,V\in\mathcal T\colon (x\in U\not\ni y)\land(x\not\in V\ni y)[3]
Has characteristic
separation axiom[2]
In defining formula
\mathcal T, X[5][6]
Maintained by WikiProject
WikiProject Mathematics[4]
🏷️ Also known as
en T1 space en T₁ space de T₁-Raum de T1-Raum es espacio T1 fa فضای تی۱ fr espace accessible fr espace T1 it spazio T1 ja R0空間 ja T1空間 ko T1 공간 ko 프레셰 공간 ms ruang T1 nl T1-ruimte pl przestrzeń T1 pt espaço T1 pt espaço T₁ ru пространство T1 ru пространство со свойством T1
🔖 Identifiers · 6
OpenAlex ID
C106558176
Freebase ID
/m/01327g
MathWorld ID
T1-Space
Metamath statement ID
df-t1
Microsoft Academic ID (discontinued)
106558176

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🔗 Connections
Subtypes 2
Has characteristic 1
Maintained by WikiProject 1
Subclass of 1
← Different from 1
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Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). T1 space. Retrieved November 9, 2026, from https://4ort.xyz/entity/t1-space
MLA “T1 space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 9 Nov. 2026, https://4ort.xyz/entity/t1-space.
BibTeX @misc{4ortxyz_t1-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{T1 space}}, year = {2026}, url = {https://4ort.xyz/entity/t1-space}, note = {Accessed: 2026-11-09}}
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