homotopy group

algebraic construct classifying topological spaces
Thing topological_property Q1626416
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homotopy group

Summary

homotopy group is a topological property[1]. It draws 137 Wikipedia views per month (topological_property category, ranking #5 of 9).[2]

Key Facts

  • homotopy group's instance of is recorded as topological property[3].
  • homotopy group's subclass of is recorded as homotopy group with coefficients[4].
  • homotopy group's opposite of is recorded as cohomotopy set[5].
  • homotopy group's Freebase ID is recorded as /m/01rgk1[6].
  • homotopy group's Encyclopædia Britannica Online ID is recorded as topic/homotopy-group[7].
  • homotopy group's uses is recorded as homotopy[8].
  • homotopy group's studied by is recorded as homotopy theory[9].
  • homotopy group's MathWorld ID is recorded as HomotopyGroup[10].
  • homotopy group's nLab ID is recorded as homotopy group[11].
  • homotopy group's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • homotopy group's Microsoft Academic ID is recorded as 147688034[13].
  • homotopy group's ProofWiki ID is recorded as Definition:Homotopy_Group[14].
  • homotopy group's Encyclopedia of Mathematics article ID is recorded as Homotopy_group[15].
  • homotopy group's PlanetMath ID is recorded as HomotopyGroups[16].
  • homotopy group's KBpedia ID is recorded as HomotopyGroup[17].
  • homotopy group's OpenAlex ID is recorded as C147688034[18].
  • homotopy group's ScienceDirect topic ID is recorded as mathematics/homotopy-group[19].

Why It Matters

homotopy group draws 137 Wikipedia views per month (topological_property category, ranking #5 of 9).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[20] It is known by 6 alternative names across languages and contexts.[21]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . Freebase Data Dumps. wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . KBpedia. Retrieved . wikidata.org.
  16. [18] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  17. [19] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . 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). homotopy group. Retrieved May 3, 2026, from https://4ort.xyz/entity/homotopy-group
MLA “homotopy group.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/homotopy-group.
BibTeX @misc{4ortxyz_homotopy-group_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{homotopy group}}, year = {2026}, url = {https://4ort.xyz/entity/homotopy-group}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): homotopy group — https://4ort.xyz/entity/homotopy-group (retrieved 2026-05-03)

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