discrete space

topological space whose every subset is both open and closed
rdfs:label
"discrete space"@en
skos:altLabel
"الفضاء المتقطع"@ar
schema:description
"topological space whose every subset is both open and closed"@en
schema:dateModified "2026-09-06T21:05:50+00:00"^^xsd:dateTime
schema:version 2541315601
wikibase:identifiers 8
wikibase:sitelinks 21
wikibase:statements 28
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wd:statement/Q175116-132c3fdb-47d2-c0ec-6f40-8ff3eed354da
wd:statement/Q175116-39c8bd8d-4f3e-02e0-14b4-0518678d9ceb
p:P8408 wd:statement/Q175116-E93A6531-A629-45FF-8478-8BFBE6ADCD98
p:direct-normalized/P6366 <https://makg.org/entity/153782549>
p:direct-normalized/P8408 <http://kbpedia.org/kko/rc/DiscreteTopologicalSpace>
wdt:P10283 "C153782549"
wdt:P11514 "diskretnaia-topologiia-e76f4c"
wdt:P1552 Lebesgue covering dimension
discrete topology
wdt:P1889 discrete set
discrete topology
codiscrete space
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 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">=</mo><mo fence="false" stretchy="false">{</mo><mi>U</mi><mo stretchy="false">&#x003A;</mo><mi>U</mi><mo stretchy="false">&#x2286;</mo><mi>X</mi><mo fence="false" stretchy="false">}</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2579 general topology
wdt:P279 metrizable space
extremally disconnected space
totally disconnected space
zero-dimensional space
manifold
door space
wdt:P2812 "DiscreteSpace"
wdt:P361 category of topological spaces
wdt:P3827 "discrete-spaces"
wdt:P4215 "discrete object"
wdt:P461 codiscrete space
wdt:P527 isolated point
wdt:P6104 WikiProject Mathematics
wdt:P6366 "153782549"
wdt:P646 "/m/0fjpm"
wdt:P7235 "<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 data-mjx-texclass="OP" mathvariant="normal">Open</mi><mo>&#x2061;</mo><mo stretchy="false">(</mo><mi>X</mi><mo stretchy="false">)</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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>X</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<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"><mo fence="false" stretchy="false">{</mo><mi>U</mi><mo stretchy="false">&#x003A;</mo><mi>U</mi><mo stretchy="false">&#x2286;</mo><mi>X</mi><mo fence="false" stretchy="false">}</mo></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P8408 "DiscreteTopologicalSpace"
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