equivalence of categories

abstract mathematics relationship
Thing equivalence_relation Q1082992
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equivalence of categories

Summary

equivalence of categories is an equivalence relation[1]. It draws 103 Wikipedia views per month (equivalence_relation category, ranking #3 of 7).[2]

Key Facts

  • equivalence of categories's instance of is recorded as equivalence relation[3].
  • equivalence of categories's subclass of is recorded as fully faithful functor[4].
  • equivalence of categories's subclass of is recorded as essentially surjective functor[5].
  • equivalence of categories's opposite of is recorded as dual equivalence[6].
  • equivalence of categories's Freebase ID is recorded as /m/021c7d[7].
  • equivalence of categories's studied by is recorded as category theory[8].
  • equivalence of categories's nLab ID is recorded as equivalence of categories[9].
  • equivalence of categories's Microsoft Academic ID is recorded as 11846945[10].
  • equivalence of categories's ProofWiki ID is recorded as Definition:Equivalence_of_Categories[11].
  • equivalence of categories's Enciclopedia della Scienza e della Tecnica ID is recorded as equivalenza-categorica[12].
  • equivalence of categories's OpenAlex ID is recorded as C11846945[13].

Why It Matters

equivalence of categories draws 103 Wikipedia views per month (equivalence_relation category, ranking #3 of 7).[2] It has Wikipedia articles in 10 language editions, a strong signal of global cultural recognition.[14]

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] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . 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). equivalence of categories. Retrieved May 3, 2026, from https://4ort.xyz/entity/equivalence-of-categories
MLA “equivalence of categories.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/equivalence-of-categories.
BibTeX @misc{4ortxyz_equivalence-of-categories_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{equivalence of categories}}, year = {2026}, url = {https://4ort.xyz/entity/equivalence-of-categories}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): equivalence of categories — https://4ort.xyz/entity/equivalence-of-categories (retrieved 2026-05-03)

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