SHMARQL

Tietze extension theorem

<http://www.wikidata.org/entity/Q1346677>

theorem that continuous functions on a closed subset of a normal topological space can be extended to the entire space, preserving boundedness if necessary
rdfs:label
"Tietze extension theorem"@en
skos:altLabel
"Tietze–Urysohn–Brouwer extension theorem"@en
"Urysohn-Brouwer lemma"@en
schema:description
"theorem that continuous functions on a closed subset of a normal topological space can be extended to the entire space, preserving boundedness if necessary"@en
schema:dateModified "2026-11-01T12:16:24+00:00"^^xsd:dateTime
schema:version 2563371399
wikibase:identifiers 7
wikibase:sitelinks 14
wikibase:statements 11
p:P11514 wd:statement/Q1346677-fceb1659-4575-156f-1b30-cb29dd97e2fa
p:P138 wd:statement/Q1346677-59d3d686-491c-2bfd-10fc-b8f6b978d0c5
p:P2812 wd:statement/Q1346677-e8b93324-4717-1311-dd5e-4ba267b53472
p:P31 wd:statement/Q1346677-c8fc6571-46da-d57a-6423-01c33f4e5d56
p:P361 wd:statement/Q1346677-A4938838-3F2A-4530-88B4-835ABE618FB1
p:P4215 wd:statement/Q1346677-4C1647C3-B3A8-406B-971A-F4891B91CB2F
p:P6104 wd:statement/Q1346677-0BF1FA7C-873A-4034-95B0-470BCEBB3AD1
p:P6366 wd:statement/Q1346677-E959B414-71A7-44A4-8A62-0F2351248209
p:P646 wd:statement/Q1346677-A9ECA524-5A82-43C2-BC90-72F44D9C0EC0
p:P6781 wd:statement/Q1346677-d2e73f4e-4615-a122-1b50-bd0d5cae760c
p:P7726 wd:statement/Q1346677-8bbe69f6-4608-046f-8eff-cb33d0b825b1
p:direct-normalized/P6366 <https://makg.org/entity/22905006>
wdt:P11514 "teorema-tittse-urysona-e25bcb"
wdt:P138 Heinrich Franz Friedrich Tietze
wdt:P2812 "TietzesExtensionTheorem"
wdt:P31 theorem
wdt:P361 list of theorems
wdt:P4215 "Tietze extension theorem"
wdt:P6104 WikiProject Mathematics
wdt:P6366 "22905006"
wdt:P646 "/m/07qjn"
wdt:P6781 "Tietze_Extension_Theorem"
wdt:P7726 "TietzeExtensionTheorem"
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