SHMARQL

Stone–Čech compactification

<http://www.wikidata.org/entity/Q2033899>

a universal map from a topological space X to a compact Hausdorff space βX, such that any map from X to a compact Hausdorff space factors through βX uniquely; if X is Tychonoff, then X is a dense subspace of βX
rdfs:label
"Stone–Čech compactification"@en
skos:altLabel
"Cech-Stone compactification"@en
"Stone-Cech compactification"@en
"Čech–Stone compactification"@en
schema:description
"a universal map from a topological space X to a compact Hausdorff space βX, such that any map from X to a compact Hausdorff space factors through βX uniquely; if X is Tychonoff, then X is a dense subspace of βX"@en
schema:dateModified "2026-10-19T19:24:24+00:00"^^xsd:dateTime
schema:version 2558894024
wikibase:identifiers 2
wikibase:sitelinks 13
wikibase:statements 12
p:P138 wd:statement/Q2033899-81b6cd37-42fa-d536-52b3-328ad566f722
wd:statement/Q2033899-87a53049-43f0-f4ac-1289-1b9a8ac1a93a
p:P1568 wd:statement/Q2033899-d2b6a73a-4795-66b2-f922-7f345beaa39d
p:P1571 wd:statement/Q2033899-cb39867c-4534-22dc-1c61-e73df53ccfc9
p:P2579 wd:statement/Q2033899-94a7666d-477d-1f91-f4ec-4b190a668160
p:P31 wd:statement/Q2033899-0e411065-43c8-02e3-fa78-b68b28adf99e
wd:statement/Q2033899-B963AC83-2AD3-404D-8153-1E6ECB6454BD
wd:statement/Q2033899-ebc1184b-4f26-5f6d-efed-aa25ca556ef2
p:P61 wd:statement/Q2033899-5050ea96-41db-57a9-07a1-477ae5a32bd1
wd:statement/Q2033899-a8c62ac2-48b5-35c4-462d-77deaf5e1b1a
p:P6366 wd:statement/Q2033899-F85A540A-41C6-4CC7-B528-BA517A0EFE73
p:P646 wd:statement/Q2033899-4BAA57D1-01AD-475C-BF04-87A2A49D91F4
p:direct-normalized/P6366 <https://makg.org/entity/2776927102>
wdt:P138 Eduard Čech
Marshall Harvey Stone
wdt:P1568 category of topological spaces
wdt:P1571 category of compact Hausdorff spaces
wdt:P2579 general topology
wdt:P31 left adjoint
universal property
compactification
wdt:P61 Eduard Čech
Marshall Harvey Stone
wdt:P6366 "2776927102"
wdt:P646 "/m/0dwz4"
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