functor

in category theory, a mapping between categories that preserves their structure (identity morphisms, composition of morphisms)
Thing general Q864475
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functor

Summary

functor has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • functor is credited with the discovery of Samuel Eilenberg[2].
  • functor is credited with the discovery of Saunders Mac Lane[3].
  • functor is a type of function[4].
  • functor is part of category theory[5].
  • functor's Commons category is recorded as Functors[6].
  • functor's topic's main category is recorded as Category:Functors[7].
  • functor's different from is recorded as function object[8].
  • functor's properties for this type is recorded as P1568[9].
  • functor's properties for this type is recorded as P1571[10].
  • functor's studied by is recorded as category theory[11].
  • functor's maintained by WikiProject is recorded as WikiProject Mathematics[12].

Body

Definition and Type

functor is a type of function[4].

Use and Application

functor is part of category theory[5].

Why It Matters

functor has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[1] functor is known by 30 alternative names across languages and contexts.[13]

📑 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). functor. Retrieved April 10, 2026, from https://4ort.xyz/entity/functor
MLA “functor.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/functor.
BibTeX @misc{4ortxyz_functor_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{functor}}, year = {2026}, url = {https://4ort.xyz/entity/functor}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): functor — https://4ort.xyz/entity/functor (retrieved 2026-04-10)

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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. 2d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Properties for this type P1568, P1571
    Subclass of
    Different from function object
    Topic's main category Category:Functors
    + 8 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: CategoryTheory.Functor, #quickstatements; #temporary_batch_1783013068346"
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