Yoneda functor

noun

A functor from a given category to the category of functors from that given category to Set (the category of sets) which maps any object of the given category to a hom functor represented by that object and any morphism to a natural isomorphism induced uniquely by that morphism according to the Yoneda lemma.

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Meanings

nounYoneda functor (plural Yoneda functors)

plural Yoneda functors

  1. category theoryA functor from a given category to the category of functors from that given category to Set (the category of sets) which maps any object of the given category to a hom functor represented by that object and any morphism to a natural isomorphism induced uniquely by that morphism according to the Yoneda lemma.

Origin

Named after the Japanese mathematician Nobuo Yoneda (1930–1996).

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Cite this entry
APA

Yoneda functor. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Yoneda%20functor

MLA

“Yoneda functor.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Yoneda%20functor. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Yoneda functor,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Yoneda%20functor.

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