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tricategory

∞-category with all k-morphisms trivial for k>3
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tricategory

Summary

Key Facts

  • tricategory followed bicategory[1].
  • tricategory was followed by tetracategory[2].
  • tricategory is a type of weak n-category[3].
  • tricategory's studied by is recorded as higher category theory[4].

Body

Definition and Type

tricategory is a type of weak n-category[3].

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.

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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). tricategory. Retrieved May 7, 2026, from https://4ort.xyz/entity/tricategory
MLA “tricategory.” 4ort.xyz Knowledge Graph, 4ort.xyz, 7 May. 2026, https://4ort.xyz/entity/tricategory.
BibTeX @misc{4ortxyz_tricategory_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{tricategory}}, year = {2026}, url = {https://4ort.xyz/entity/tricategory}, note = {Accessed: 2026-05-07}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): tricategory — https://4ort.xyz/entity/tricategory (retrieved 2026-05-07)

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