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locally compact space

topological space such that every point has a neighbourhood with compact closure
Class type of: topological space, Hausdorff space Q583034

Facts

3 properties
Subclass of
topological space, Hausdorff space[1][2]
Maintained by WikiProject
WikiProject Mathematics[4]
Studied by
general topology[3]
🏷️ Also known as
en locally compact space ar فضاء متراص محليا de lokal kompakter Raum es compacidad local fa فضای موضعاً فشرده fi Lokaalisti kompakti avaruus fr espace localement compact he מרחב צמום מקומית he מרחב קומפקטי מקומית it spazio localmente compatto ja 局所コンパクト空間 ko 국소 컴팩트 공간 ko 국소 콤팩트 공간 nl lokaal compacte ruimte pl przestrzeń lokalnie zwarta pt espaço localmente compacto ro spațiu local compact ru локально компактное пространство sv Lokalt kompakt uk локально компактний простір
🔖 Identifiers · 7
OpenAlex ID
C31498916
Freebase ID
/m/0c_r8
Great Russian Encyclopedia portal ID
lokal-no-kompaktnoe-prostranstvo-039f9f
MathWorld ID
LocallyCompact
Microsoft Academic ID (discontinued)
31498916
ScienceDirect topic ID
mathematics/locally-compact-space
Treccani's Enciclopedia della Matematica ID
localmente-compatto

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🔗 Connections
Subclass of 2
topological space, Hausdorff space
Subtypes 2
compact space, local field
Examples 1
long line
Maintained by WikiProject 1
WikiProject Mathematics
Studied by 1
general topology
← FactGrid item ID 1
Sierakośce
← Underlying structure 1
locally compact Hausdorff group
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References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [1] ↑ . wikidata.org.
  2. [2] ↑ . Retrieved . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . wikidata.org.

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Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). locally compact space. Retrieved November 8, 2026, from https://4ort.xyz/entity/locally-compact-space
MLA “locally compact space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 8 Nov. 2026, https://4ort.xyz/entity/locally-compact-space.
BibTeX @misc{4ortxyz_locally-compact-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{locally compact space}}, year = {2026}, url = {https://4ort.xyz/entity/locally-compact-space}, note = {Accessed: 2026-11-08}}
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