Home › Entities › general › bicategory

bicategory

structure consisting of a class of objects and (between every pair X,Y of objects) a category C(X,Y), along with composition functors C(X,Y)×C(Y,Z)→C(X,Z), such that composition is associative (up to natural equivalence by some isomorphism)
Thing general Q4903541
Press Enter · cited answer in seconds

bicategory

Summary

Key Facts

  • bicategory's follows is recorded as category[1].
  • bicategory's followed by is recorded as tricategory[2].
  • bicategory's subclass of is recorded as weak n-category[3].
  • bicategory's Freebase ID is recorded as /m/02nnyt[4].
  • bicategory's Stack Exchange tag is recorded as https://mathoverflow.net/tags/2-categories[5].
  • bicategory's series ordinal is recorded as 2[6].
  • bicategory's studied by is recorded as higher category theory[7].
  • bicategory's has part is recorded as strict 2-category[8].
  • bicategory's nLab ID is recorded as bicategory[9].
  • bicategory's Microsoft Academic ID is recorded as 2778726777[10].
  • bicategory's Encyclopedia of Mathematics article ID is recorded as Bicategory[11].

References

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

Direct Wikidata claims

  1. [1] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . wikidata.org.
  5. [5] ↑ . wikidata.org.
  6. [6] ↑ . wikidata.org.
  7. [7] ↑ . wikidata.org.
  8. [8] ↑ . wikidata.org.
  9. [9] ↑ . wikidata.org.
  10. [10] ↑ . wikidata.org.
  11. [11] ↑ . 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). bicategory. Retrieved May 7, 2026, from https://4ort.xyz/entity/bicategory
MLA “bicategory.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 May. 2026, https://4ort.xyz/entity/bicategory.
BibTeX @misc{4ortxyz_bicategory_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{bicategory}}, year = {2026}, url = {https://4ort.xyz/entity/bicategory}, note = {Accessed: 2026-05-07}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): bicategory — https://4ort.xyz/entity/bicategory (retrieved 2026-05-07)

Canonical URL: https://4ort.xyz/entity/bicategory · Last refreshed: