SHMARQL

compact space

<http://www.wikidata.org/entity/Q381892>

topological space in which from every open cover of the space, a finite cover can be extracted
rdfs:label
"compact space"@en
skos:altLabel
"compact topological space"@en
"quasi-compact space"@en
"quasicompact space"@en
schema:description
"topological space in which from every open cover of the space, a finite cover can be extracted"@en
schema:dateModified "2026-09-06T21:05:33+00:00"^^xsd:dateTime
schema:version 2541315487
wikibase:identifiers 19
wikibase:sitelinks 40
wikibase:statements 35
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p:direct-normalized/P6366 <https://makg.org/entity/18648836>
p:direct-normalized/P8814 <http://wordnet-rdf.princeton.edu/rdf/id/05096011-n>
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wdt:P10283 "C18648836"
wdt:P10376 "mathematics/compact-topological-space"
wdt:P11514 "kompaktnoe-prostranstvo-671e64"
wdt:P12385 "espai-compacte"
wdt:P12888 "df-cmp"
wdt:P1296 "0153143"
wdt:P1343 Great Soviet Encyclopedia (1926–1947)
wdt:P14534 "CompactSpace"
wdt:P1552 compactness
fixed-point property
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><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒰</mi></mrow><mo stretchy="false">&#x2286;</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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">&#x22C3;</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒰</mi></mrow><mo stretchy="false">=</mo><mi>X</mi><mstyle scriptlevel="0"><mspace width="0.278em"></mspace></mstyle><mo>&#x27F9;</mo><mstyle scriptlevel="0"><mspace width="0.278em"></mspace></mstyle><mi mathvariant="normal">&#x2203;</mi><msup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒰</mi></mrow><mo>&#x2032;</mo></msup><mo stretchy="false">&#x2286;</mo><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒰</mi></mrow><mo stretchy="false">&#x003A;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo stretchy="false">&#x22C3;</mo><msup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒰</mi></mrow><mo>&#x2032;</mo></msup><mo stretchy="false">=</mo><mi>X</mi><mo stretchy="false">&#x2227;</mo><mo stretchy="false">|</mo><msup><mrow data-mjx-texclass="ORD"><mi data-mjx-variant="-tex-calligraphic">𝒰</mi></mrow><mo>&#x2032;</mo></msup><mo stretchy="false">|</mo><mo>&lt;</mo><msub><mi mathvariant="normal">&#x2135;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2579 general topology
wdt:P279 feebly compact space
hemicompact space
locally compact space
countably compact space
paracompact space
wdt:P2812 "CompactSpace"
wdt:P31 mathematical concept
wdt:P3219 "compacite-mathematique"
wdt:P373 "Compact space"
wdt:P4215 "compact space"
wdt:P5008 Wikipedia:Vital articles/Level/4
wdt:P6058 "divers/compact/35581"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "18648836"
wdt:P646 "/m/01tcj"
wdt:P6564 "compact-space"
wdt:P6781 "Definition:Compact_Space"
wdt:P8814 "05096011-n"
wdt:P8885 "콤팩트성"
wdt:P910 Category:Compactness (mathematics)
wdt:P9621 "compatto"
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