category theory

branch of mathematics studying categories, functors, and natural transformations
CreativeWork branch_of_mathematics Q217413
category theory
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category theory

Summary

category theory is a branch of mathematics[1]. It ranks in the top 8% of branch_of_mathematics entities by monthly Wikipedia readership (1,046 views/month).[2]

Key Facts

  • category theory's image is recorded as Prod chain.svg[3].
  • category theory's instance of is recorded as branch of mathematics[4].
  • category theory's GND ID is recorded as 4120552-2[5].
  • category theory's part of is recorded as higher category theory[6].
  • category theory's part of is recorded as theory of sets, relations and functions[7].
  • category theory's has use is recorded as programming language theory[8].
  • category theory's Commons category is recorded as Category theory[9].
  • category theory's has part is recorded as category theory terminology[10].
  • category theory's Freebase ID is recorded as /m/01r_h[11].
  • category theory's NL CR AUT ID is recorded as ph676925[12].
  • category theory's topic's main category is recorded as Category:Category theory[13].
  • category theory's PSH ID is recorded as 7360[14].
  • category theory's OmegaWiki Defined Meaning is recorded as 1017424[15].
  • category theory's Gran Enciclopèdia Catalana ID is recorded as 0167871[16].
  • category theory's described by source is recorded as Sets for Mathematics[17].
  • category theory's described by source is recorded as Armenian Soviet Encyclopedia, vol. 5[18].
  • category theory's Encyclopædia Britannica Online ID is recorded as science/category-theory[19].
  • category theory's topic has template is recorded as Template:Category theory[20].
  • category theory's Stack Exchange tag is recorded as https://mathoverflow.net/tags/ct.category-theory[21].
  • category theory's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/category-theory[22].
  • category theory's Stack Exchange tag is recorded as https://matheducators.stackexchange.com/tags/category-theory[23].
  • category theory's Stack Exchange tag is recorded as https://physics.stackexchange.com/tags/category-theory[24].
  • category theory's Stack Exchange tag is recorded as https://quantumcomputing.stackexchange.com/tags/category-theory[25].
  • category theory's Stack Exchange tag is recorded as https://cstheory.stackexchange.com/tags/ct.category-theory[26].
  • category theory's BBC Things ID is recorded as 3d4a36da-1408-4ae3-9503-99fe403f0ebf[27].

Body

Publication

Part of include higher category theory[6], a branch of mathematics[28] and theory of sets, relations and functions[7].

Why It Matters

category theory ranks in the top 8% of branch_of_mathematics entities by monthly Wikipedia readership (1,046 views/month).[2] It has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[29] It is known by 27 alternative names across languages and contexts.[30]

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] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . Freebase Data Dumps. wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . BBC Things. wikidata.org.

Inline context (facts about related entities)

  1. [28] . Wikidata. wikidata.org. → on this site

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [29] . Wikidata sitelinks. wikidata.org.
  3. [30] . 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). category theory. Retrieved May 3, 2026, from https://4ort.xyz/entity/category-theory
MLA “category theory.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/category-theory.
BibTeX @misc{4ortxyz_category-theory_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{category theory}}, year = {2026}, url = {https://4ort.xyz/entity/category-theory}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): category theory — https://4ort.xyz/entity/category-theory (retrieved 2026-05-03)

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