Word.ws English Dictionary

Yoneda functor

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.

Noun

Yoneda functor (plural Yoneda functors)

  1. 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.

Forms of Yoneda functor

pluralYoneda functors

Origin of Yoneda functor

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

Questions about Yoneda functor

What does Yoneda functor mean?
Yoneda functor means 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.
What part of speech is Yoneda functor?
Yoneda functor is a noun.
What is the plural of Yoneda functor?
The plural of Yoneda functor is Yoneda functors.

Words near Yoneda functor in the dictionary

  1. yonderness
  2. yonders
  3. Yoneda
  4. Yoneda embedding
  5. Yoneda embeddings
  6. Yoneda functor
  7. Yoneda functors
  8. Yoneda lemma
  9. Yonezawa
  10. yong
  11. yong bell

Source and license

Adapted from Wiktionary: Yoneda functor (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

Last updated:

Cite this entry: “Yoneda functor.” Word.ws, https://word.ws/yoneda_functor. Based on Wiktionary, CC BY-SA 4.0.