metric space

set equipped with a metric (distance function)
rdfs:label
"metric space"@en
skos:altLabel
"فضاء قياسي"@ar
schema:description
"set equipped with a metric (distance function)"@en
schema:dateModified "2026-11-05T06:04:14+00:00"^^xsd:dateTime
schema:version 2564926826
wikibase:identifiers 43
wikibase:sitelinks 65
wikibase:statements 65
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p:P6366 wd:statement/Q180953-095095AC-00C4-4682-A33D-9C27F590C4BE
p:P646 wd:statement/Q180953-5BEC062B-2A10-4BB2-8D4D-1612A4BE488E
p:P6781 wd:statement/Q180953-f146df2e-4e5b-a732-3788-e85a5b756b0c
p:P691 wd:statement/Q180953-BAD54676-076B-4D74-9418-7D1882D67084
p:P7305 wd:statement/Q180953-A38D9E9F-677F-4082-AD60-92F3BB3B8D05
p:P7554 wd:statement/Q180953-08e35505-4f1c-2cab-b493-017209cd4138
p:P8189 wd:statement/Q180953-17A2F543-7BEE-4F64-B57A-FF41C8185372
p:P8313 wd:statement/Q180953-C2F0D6AE-2D85-4D61-AAE1-D4A494596182
p:P8408 wd:statement/Q180953-EC5ED32C-B91B-4CA4-9CCC-6DAEE384D0BD
p:P8814 wd:statement/Q180953-31AC2AA8-1D0A-4E9F-B306-7A892188F340
p:P910 wd:statement/Q180953-9D683B56-0AE3-4196-AA1B-F687B608B30E
p:P9322 wd:statement/Q180953-E8316041-004D-4459-89FC-5BBAE6B7FB96
p:P9621 wd:statement/Q180953-69ff0428-4626-4505-b9fd-02832975a1d0
p:direct-normalized/P227 <https://d-nb.info/gnd/4169745-5>
p:direct-normalized/P2347 <http://www.yso.fi/onto/yso/p27753>
p:direct-normalized/P244 <http://id.loc.gov/authorities/names/sh85084441>
p:direct-normalized/P268 <http://data.bnf.fr/ark:/12148/cb119444311#about>
p:direct-normalized/P349 <http://id.ndl.go.jp/auth/ndlna/00567250>
p:direct-normalized/P508 <http://purl.org/bncf/tid/46156>
p:direct-normalized/P6366 <https://makg.org/entity/198043062>
p:direct-normalized/P8408 <http://kbpedia.org/kko/rc/MetricGeometry>
p:direct-normalized/P8814 <http://wordnet-rdf.princeton.edu/rdf/id/08021137-n>
wdt:P10037 "spazio-metrico"
wdt:P10283 "C198043062"
wdt:P1036 "514.325"
wdt:P10376 "computer-science/metric-space"
"earth-and-planetary-sciences/metric-space"
"mathematics/metric-space"
"physics-and-astronomy/metric-space"
wdt:P10509 "5559"
wdt:P1051 "7392"
wdt:P11514 "metricheskoe-prostranstvo-c40800"
wdt:P12888 "df-ms"
wdt:P12946 "metric+space"
wdt:P1343 Mathwords
Great Soviet Encyclopedia (1926–1947)
wdt:P13591 "concept/2264863f-7117-436f-af75-2a8c6e10a633"
wdt:P1417 "topic/metric-space"
wdt:P1424 Template:Metric spaces
wdt:P14534 "MetricSpace"
wdt:P1482 <https://math.stackexchange.com/tags/metric-spaces>
<https://mathoverflow.net/tags/metric-spaces>
<https://physics.stackexchange.com/tags/metric-space>
wdt:P1552 Hausdorff dimension
wdt:P227 "4169745-5"
wdt:P2347 "27753"
wdt:P244 "sh85084441"
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>d</mi><mo stretchy="false">:</mo><mi>X</mi><mo stretchy="false">&#x00D7;</mo><mi>X</mi><mo stretchy="false" accent="false">&#x2192;</mo><mo stretchy="false">[</mo><mn>0</mn><mo>,</mo><mi mathvariant="normal">&#x221E;</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>d</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">&#x2264;</mo><mi>d</mi><mo stretchy="false">(</mo><mi>x</mi><mo>,</mo><mi>z</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>d</mi><mo stretchy="false">(</mo><mi>z</mi><mo>,</mo><mi>y</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>d</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi>d</mi><mo stretchy="false">(</mo><mi>y</mi><mo>,</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>d</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">&#x21D4;</mo><mi>x</mi><mo stretchy="false">=</mo><mi>y</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P268 "119444311"
wdt:P279 pseudometric space
quasimetric space
semimetric space
wdt:P2812 "MetricSpace"
wdt:P31 mathematical concept
wdt:P3219 "espaces-metriques"
wdt:P349 "00567250"
wdt:P373 "Metric geometry"
wdt:P3827 "metric-spaces"
wdt:P3847 "metric_spaces"
wdt:P4215 "metric space"
wdt:P4342 "metrisk_-_matematikk"
wdt:P4613 "67463"
wdt:P4746 "133705"
wdt:P4839 "Entity["Concept", "MetricSpace::8469w"]"
wdt:P5008 Wikipedia:Vital articles/Level/4
wdt:P508 "46156"
wdt:P527 metrizable space
metric function
wdt:P6104 WikiProject Mathematics
wdt:P6366 "198043062"
wdt:P646 "/m/050v4"
wdt:P6781 "Definition:Metric_Space"
wdt:P691 "ph122785"
wdt:P7305 "3940160"
wdt:P7554 "Metric_space"
wdt:P8189 "987007529311005171"
wdt:P8313 "metrisk_rum"
wdt:P8408 "MetricGeometry"
wdt:P8814 "08021137-n"
wdt:P910 Category:Metric spaces
wdt:P9322 "0212474-metricke-prostory"
wdt:P9621 "spazio-metrico"
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