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homology

general way of associating a sequence of algebraic objects to other mathematical objects
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homology

Summary

homology ranks in the top 2% of general entities by monthly Wikipedia readership (1,754 views/month).[1]

Key Facts

  • homology is a type of invariant[2].
  • homology's Commons category is recorded as Homology[3].
  • homology is the opposite of cohomology[4].
  • homology's uses is recorded as chain complex[5].
  • homology's studied by is recorded as category theory[6].
  • homology's studied by is recorded as homological algebra[7].
  • homology's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[8].
  • homology's maintained by WikiProject is recorded as WikiProject Mathematics[9].

Body

Definition and Type

homology is a type of invariant[2]. homology is the opposite of cohomology[4].

Why It Matters

homology ranks in the top 2% of general entities by monthly Wikipedia readership (1,754 views/month).[1] homology has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[10] homology is known by 16 alternative names across languages and contexts.[11]

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] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] ↑ . Wikidata sitelinks. wikidata.org.
  3. [11] ↑ . 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). homology. Retrieved April 10, 2026, from https://4ort.xyz/entity/homology-q1144780
MLA “homology.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/homology-q1144780.
BibTeX @misc{4ortxyz_homology-q1144780_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{homology}}, year = {2026}, url = {https://4ort.xyz/entity/homology-q1144780}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): homology — https://4ort.xyz/entity/homology-q1144780 (retrieved 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. 23d ago · Twofivesixbot bot · 2026-05-26 view diff on Wikidata ↗
    Uses → —
    Uses → chain complex
    Opposite of → cohomology
    Subclass of → —
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007565420705171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.