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category of sets

category whose objects are the sets and morphisms the functions
Thing concrete_category Q2518298
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category of sets

Summary

category of sets is a concrete category[1]. It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • category of sets's instance of is recorded as concrete category[3].
  • category of sets's instance of is recorded as bicomplete category[4].
  • category of sets's instance of is recorded as topos[5].
  • category of sets's TeX string is recorded as \textbf{Set}[6].
  • category of sets's studied by is recorded as category theory[7].
  • category of sets's has part is recorded as set[8].
  • category of sets's has part is recorded as function[9].

Body

Definition and Type

Recorded instance of include concrete category[3], bicomplete category[4], and topos[5].

Why It Matters

category of sets has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[2] It is known by 3 alternative names across languages and contexts.[10]

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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikidata sitelinks. wikidata.org.
  2. [10] ↑ . 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 of sets. Retrieved May 3, 2026, from https://4ort.xyz/entity/category-of-sets
MLA “category of sets.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/category-of-sets.
BibTeX @misc{4ortxyz_category-of-sets_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{category of sets}}, year = {2026}, url = {https://4ort.xyz/entity/category-of-sets}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): category of sets — https://4ort.xyz/entity/category-of-sets (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/category-of-sets · Last refreshed:

Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 24d ago · 慈居 · 2026-07-04 view diff on Wikidata ↗
    P14617 → Q173740
    P14619 → Q180907
    P14621 → Q229102
    P14622 → Q182003
    + 8 other properties edited (see Wikidata diff for full list)
    "/* wbremoveclaims-remove:1| */ [[Property:P2670]]: [[Q36161]]"
  2. 25d ago · ZI Jony · 2026-07-03 view diff on Wikidata ↗
    Instance of → concrete category, bicomplete category, topos
    Wikidata description → category whose objects are the sets and morphisms the functions
    P14613 → Q36161
    "/* wbsetclaim-create:2||1 */ [[Property:P14613]]: [[Q36161]]"
  3. 7w ago · 慈居 · 2026-06-07 view diff on Wikidata ↗
    Aliases → —
    Instance of → —
    Instance of → concrete category, bicomplete category, topos
    Has part(s) of the class → set, function
    + 1 other property edited (see Wikidata diff for full list)
    "/* wbsetclaim-update:2||1 */ [[Property:P31]]: [[Q140088628]]"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.