derived category

homotopy category of chain complexes in an abelian category with inverses to quasi-isomorphisms adjoined
Thing general Q5262626
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derived category

Summary

derived category ranks in the top 2% of general entities by monthly Wikipedia readership (100 views/month).[1]

Key Facts

  • derived category is credited with the discovery of Alexander Grothendieck[2].
  • derived category is credited with the discovery of Jean-Louis Verdier[3].
  • derived category's subclass of is recorded as category[4].
  • +1960-00-00T00:00:00Z marks the founding of derived category[5].
  • derived category's Freebase ID is recorded as /m/03wtg4[6].
  • derived category's Stack Exchange tag is recorded as https://mathoverflow.net/tags/derived-categories[7].
  • derived category's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/derived-categories[8].
  • derived category's studied by is recorded as homological algebra[9].
  • derived category's nLab ID is recorded as derived category[10].
  • derived category's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • derived category's Microsoft Academic ID is recorded as 109593458[12].
  • derived category's Encyclopedia of Mathematics article ID is recorded as Derived_category[13].
  • derived category's OpenAlex ID is recorded as C109593458[14].

Body

Works and Contributions

Credited discoveries include Alexander Grothendieck[2], a mathematician[15], 1928–2014[16], of France[17], awarded the Fields medal[18], specialised in algebraic geometry[19] and Jean-Louis Verdier[3], a mathematician[20], 1935–1989[21], of France[22], specialised in mathematics[23].

Why It Matters

derived category ranks in the top 2% of general entities by monthly Wikipedia readership (100 views/month).[1] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[24]

References

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

Direct Wikidata claims

  1. [2] . Catégories dérivées et dualité, travaux de J.-L. Verdier. wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . Freebase Data Dumps. 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] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Inline context (facts about related entities)

  1. [15] . Wikidata. wikidata.org. → on this site
  2. [16] . Wikidata. wikidata.org. → on this site
  3. [17] . Wikidata. wikidata.org. → on this site
  4. [18] . Wikidata. wikidata.org. → on this site
  5. [19] . Wikidata. wikidata.org. → on this site
  6. [20] . Wikidata. wikidata.org. → on this site
  7. [21] . Wikidata. wikidata.org. → on this site
  8. [22] . Wikidata. wikidata.org. → on this site
  9. [23] . Wikidata. wikidata.org. → on this site

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [24] . Wikidata sitelinks. 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). derived category. Retrieved April 10, 2026, from https://4ort.xyz/entity/derived-category
MLA “derived category.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/derived-category.
BibTeX @misc{4ortxyz_derived-category_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{derived category}}, year = {2026}, url = {https://4ort.xyz/entity/derived-category}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): derived category — https://4ort.xyz/entity/derived-category (retrieved 2026-04-10)

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