Hausdorff space

topological space in which distinct points have disjoint neighbourhoods
rdfs:label
"Hausdorff space"@en
skos:altLabel
"T2 space"@en
"T₂ space"@en
"separated space"@en
schema:description
"topological space in which distinct points have disjoint neighbourhoods"@en
schema:dateModified "2026-09-06T21:05:37+00:00"^^xsd:dateTime
schema:version 2541315500
wikibase:identifiers 17
wikibase:sitelinks 35
wikibase:statements 28
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p:P2534 wd:statement/Q326908-97752034-4434-9fdf-b594-20088ec1f241
p:P279 wd:statement/Q326908-1fc83991-4e76-7c62-0860-74085ba6fcff
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p:P4746 wd:statement/Q326908-4C1ABA15-63F9-44B6-947D-616D70DF6F0E
p:P6104 wd:statement/Q326908-72B64E58-F8CD-42DE-978F-CCE03999FCA2
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p:P7235 wd:statement/Q326908-11b4b9c3-4deb-7c1f-e1db-49d08c6668a2
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p:P9621 wd:statement/Q326908-b30609d9-4ecc-a0f1-6d73-2912c00e69c2
p:direct-normalized/P6366 <https://makg.org/entity/191399826>
wdt:P10283 "C191399826"
wdt:P10376 "mathematics/hausdorff-space"
wdt:P10509 "5524"
wdt:P11514 "khausdorfovo-prostranstvo-d4307b"
wdt:P12385 "espai-de-hausdorff"
wdt:P12888 "df-haus"
wdt:P1296 "0032241"
wdt:P138 Felix Hausdorff
wdt:P1417 "topic/Hausdorff-space"
wdt:P1482 <https://mathoverflow.net/tags/hausdorff-spaces>
wdt:P1552 separation axiom
wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Hausdorff%20space.svg>
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><mtext>&#160;</mtext><mi mathvariant="normal">&#x2203;</mi><mspace width="0.167em"></mspace><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub><mo>,</mo><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msub><mo stretchy="false">&#x2208;</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒯</mi></mrow><mo stretchy="false">:</mo><mspace width="0.278em"></mspace><mi>x</mi><mo stretchy="false">&#x2208;</mo><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub><mo stretchy="false">&#x2227;</mo><mi>y</mi><mo stretchy="false">&#x2208;</mo><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msub><mo stretchy="false">&#x2227;</mo><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub><mo stretchy="false">&#x2229;</mo><msub><mi>U</mi><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msub><mo stretchy="false">=</mo><mi mathvariant="normal">&#x2205;</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P279 preregular space
weak Hausdorff space
sober space
wdt:P2812 "T2-Space"
wdt:P3827 "hausdorff-spaces"
wdt:P4215 "Hausdorff space"
wdt:P4746 "133662"
wdt:P6104 WikiProject Mathematics
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wdt:P646 "/m/03k2c"
wdt:P6781 "Definition:Hausdorff_Space"
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
wdt:P9621 "spazio-di-hausdorff"
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