representable functor

noun

A functor from some category to the category of sets (Set) which is naturally isomorphic to a hom functor.

Similar
representable presheaf
Ask AI about this wordChatGPTClaudePerplexityGoogle AIGrok

Meanings

nounrepresentable functor (plural representable functors)

plural representable functors

  1. category theoryA functor from some category to the category of sets (Set) which is naturally isomorphic to a hom functor.

    Synonyms: representable presheaf

Synonyms & antonyms

nounA functor from some category to the category of sets (Set) which is naturally isomorphic to a hom functor.

Similar
representable presheaf

Origin

If a representable functor is naturally isomorphic to a hom functor mbox Hom(C,-) or mbox Hom(-,C), then the object C is said to represent that representable functor.

Full word history & related roots →
Cite this entry
APA

representable functor. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/representable%20functor

MLA

“representable functor.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/representable%20functor. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “representable functor,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/representable%20functor.

Source: representable functor on Wiktionary, CC BY-SA 4.0.