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 (398 views/month).[1]

Key Facts

  • homogeneous space is a type of topological space[2].
  • homogeneous space comprises set[3].
  • homogeneous space comprises transitive group action[4].
  • homogeneous space's topic's main category is recorded as Category:Homogeneous spaces[5].
  • homogeneous space's Stack Exchange tag is recorded as https://mathoverflow.net/tags/homogeneous-spaces[6].
  • homogeneous space's studied by is recorded as group theory[7].
  • homogeneous space's studied by is recorded as Lie theory[8].
  • homogeneous space's maintained by WikiProject is recorded as WikiProject Mathematics[9].

Body

Definition and Type

homogeneous space is a type of topological space[2].

Use and Application

Components include set[3], a primitive notion[10] and transitive group action[4].

Why It Matters

homogeneous space ranks in the top 2% of general entities by monthly Wikipedia readership (398 views/month).[1] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[11] It is known by 4 alternative names across languages and contexts.[12]

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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}}
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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 6d ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    P14541 aehSQ
    Has part(s) set, transitive group action
    Has parts
    Studied by group theory, Lie theory
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/40849|batch #40849]]: ZGBK ID"
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