compact space

topological space in which from every open cover of the space, a finite cover can be extracted
Thing general Q381892
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compact space

Summary

compact space ranks in the top 2% of general entities by monthly Wikipedia readership (623 views/month).[1]

Key Facts

  • compact space's video is recorded as 4.Теорема о неподвижной точке.ogv[2].
  • compact space's subclass of is recorded as paracompact space[3].
  • compact space's subclass of is recorded as locally compact space[4].
  • compact space's subclass of is recorded as hemicompact space[5].
  • compact space's subclass of is recorded as countably compact space[6].
  • compact space's subclass of is recorded as feebly compact space[7].
  • compact space's Commons category is recorded as Compact space[8].
  • compact space's Freebase ID is recorded as /m/01tcj[9].
  • compact space's topic's main category is recorded as Category:Compactness (mathematics)[10].
  • compact space's Gran Enciclopèdia Catalana ID is recorded as 0153143[11].
  • compact space's described by source is recorded as Great Soviet Encyclopedia (1926–1947)[12].
  • compact space's has characteristic is recorded as compactness[13].
  • compact space's has characteristic is recorded as fixed-point property[14].
  • compact space's defining formula is recorded as \forall \mathcal U \subseteq\operatorname{Open}(X)\colon \left(\bigcup\mathcal U = X \implies\exists \mathcal U' \subseteq \mathcal U \colon \left(\bigcup\mathcal U' = X \land |\mathcal U'| < \aleph_0\right)\right)[15].
  • compact space's studied by is recorded as general topology[16].
  • compact space's MathWorld ID is recorded as CompactSpace[17].
  • compact space's Encyclopædia Universalis ID is recorded as compacite-mathematique[18].
  • compact space's nLab ID is recorded as compact space[19].
  • compact space's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[20].
  • compact space's Larousse ID is recorded as divers/compact/35581[21].
  • compact space's maintained by WikiProject is recorded as WikiProject Mathematics[22].
  • compact space's Microsoft Academic ID is recorded as 18648836[23].
  • compact space's Brilliant Wiki ID is recorded as compact-space[24].
  • compact space's ProofWiki ID is recorded as Definition:Compact_Space[25].
  • compact space's WordNet 3.1 Synset ID is recorded as 05096011-n[26].

Why It Matters

compact space ranks in the top 2% of general entities by monthly Wikipedia readership (623 views/month).[1] It has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[27] It is known by 84 alternative names across languages and contexts.[28]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . Freebase Data Dumps. wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . wikidata.org.
  21. [22] . wikidata.org.
  22. [23] . wikidata.org.
  23. [24] . wikidata.org.
  24. [25] . wikidata.org.
  25. [26] . GF WordNet. wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. wikidata.org.
  3. [28] . Wikidata aliases. wikidata.org.

📑 Cite this page

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). compact space. Retrieved April 10, 2026, from https://4ort.xyz/entity/compact-space
MLA “compact space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/compact-space.
BibTeX @misc{4ortxyz_compact-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{compact space}}, year = {2026}, url = {https://4ort.xyz/entity/compact-space}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): compact space — https://4ort.xyz/entity/compact-space (retrieved 2026-04-10)

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