Yoneda lemma

English

Etymology

Lemma named after the Japanese mathematician Nobuo Yoneda.

Noun

Yoneda lemma

(category theory) Given a category C with an object A, let H^A be a representable functor from C to the category of Sets, and let F be any functor from C to Sets, then there is a "natural" isomorphism between the set F(A) and Nat(H^A,F), the set of natural transformations from H^A to F.

References

The Catsters – Representables and Yoneda 3

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