homogeneous space

topological space that is the space of cosets of a topological group
Thing general Q1324364
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homogeneous space

Summary

homogeneous space ranks in the top 2% of general entities by monthly Wikipedia readership (126 views/month).[1]

Key Facts

  • homogeneous space's subclass of is recorded as topological space[2].
  • homogeneous space's has part is recorded as set[3].
  • homogeneous space's has part is recorded as transitive group action[4].
  • homogeneous space's Freebase ID is recorded as /m/01_pkc[5].
  • homogeneous space's topic's main category is recorded as Category:Homogeneous spaces[6].
  • homogeneous space's Stack Exchange tag is recorded as https://mathoverflow.net/tags/homogeneous-spaces[7].
  • homogeneous space's defining formula is recorded as \rho G \to \mathrm{Aut}_{\mathbf{C}}(X)[8].
  • homogeneous space's studied by is recorded as group theory[9].
  • homogeneous space's studied by is recorded as Lie theory[10].
  • homogeneous space's nLab ID is recorded as homogeneous space[11].
  • homogeneous space's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • homogeneous space's Microsoft Academic ID is recorded as 96469262[13].
  • homogeneous space's Online PWN Encyclopedia ID is recorded as 3917472[14].
  • homogeneous space's KBpedia ID is recorded as HomogeneousSpace[15].
  • homogeneous space's OpenAlex ID is recorded as C96469262[16].
  • homogeneous space's Encyclopedia of China is recorded as 318421[17].

Why It Matters

homogeneous space ranks in the top 2% of general entities by monthly Wikipedia readership (126 views/month).[1] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[18] It is known by 4 alternative names across languages and contexts.[19]

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] . Freebase Data Dumps. wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . KBpedia. Retrieved . wikidata.org.
  15. [16] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  16. [17] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [18] . Wikidata sitelinks. wikidata.org.
  3. [19] . 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). homogeneous space. Retrieved April 10, 2026, from https://4ort.xyz/entity/homogeneous-space
MLA “homogeneous space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/homogeneous-space.
BibTeX @misc{4ortxyz_homogeneous-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{homogeneous space}}, year = {2026}, url = {https://4ort.xyz/entity/homogeneous-space}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): homogeneous space — https://4ort.xyz/entity/homogeneous-space (retrieved 2026-04-10)

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