T1 space

topological space in which all singleton sets are closed
rdfs:label
"T1 space"@en
skos:altLabel
"T₁ space"@en
schema:description
"topological space in which all singleton sets are closed"@en
schema:dateModified "2026-09-06T21:06:09+00:00"^^xsd:dateTime
schema:version 2541315778
wikibase:identifiers 6
wikibase:sitelinks 16
wikibase:statements 12
p:P10283 wd:statement/Q284347-D88286EE-3248-425B-B0CE-0D552998A839
p:P12888 wd:statement/Q284347-7DAA0DA7-3122-44EF-AAB1-283DA17139D6
p:P1552 wd:statement/Q284347-389d76fe-4357-4044-b226-64da9ebdf7a4
p:P2534 wd:statement/Q284347-c3600309-4027-adab-fcf2-c2177dc35091
p:P279 wd:statement/Q284347-bce9e1bc-490c-c4fb-c7e1-d098d2574de4
p:P2812 wd:statement/Q284347-b06666de-48f0-d1ae-060a-714fa85b88ec
p:P6104 wd:statement/Q284347-8A179E61-59D3-423E-9812-A71EA1E3EE33
p:P6366 wd:statement/Q284347-C62FF061-EA19-4F47-8E46-BAC492C57F39
p:P646 wd:statement/Q284347-0C2D7DBA-990E-4CBF-9A6A-BB09A1A0D21D
p:P6781 wd:statement/Q284347-b096d2ba-4c68-00bf-6b6c-18db11c66e26
p:P7235 wd:statement/Q284347-8623ac5b-4835-4b9f-ca70-ab52cc2bc930
wd:statement/Q284347-aa796773-421c-d1b0-0d07-730f14bca30e
p:direct-normalized/P6366 <https://makg.org/entity/106558176>
wdt:P10283 "C106558176"
wdt:P12888 "df-t1"
wdt:P1552 separation axiom
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">&#x2200;</mi><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">&#x2208;</mo><mi>X</mi><mi mathvariant="normal">&#x2203;</mi><mi>U</mi><mo>,</mo><mi>V</mi><mo stretchy="false">&#x2208;</mo><mi data-mjx-texclass="OP" mathvariant="normal">Open</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>X</mi><mo stretchy="false">)</mo><mo stretchy="false">&#x003A;</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">&#x2208;</mo><mi>U</mi><mo stretchy="false">&#x220B;&#x338;</mo><mi>y</mi><mo stretchy="false">)</mo><mo stretchy="false">&#x2227;</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">&#x2208;&#x338;</mo><mi>V</mi><mo stretchy="false">&#x220B;</mo><mi>y</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">∀</mi><mi>x</mi><mo>,</mo><mi>y</mi><mo stretchy="false">∈</mo><mi>X</mi><mi mathvariant="normal">∃</mi><mi>U</mi><mo>,</mo><mi>V</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒯</mi></mrow><mo stretchy="false">:</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">∈</mo><mi>U</mi><mo stretchy="false">∋&#x338;</mo><mi>y</mi><mo stretchy="false">)</mo><mo stretchy="false">∧</mo><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">∈&#x338;</mo><mi>V</mi><mo stretchy="false">∋</mo><mi>y</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279 Kolmogorov space
wdt:P2812 "T1-Space"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "106558176"
wdt:P646 "/m/01327g"
wdt:P6781 "Definition:Fréchet_Space_(Topology)"
wdt:P7235 "<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>X</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒯</mi></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
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