Yoneda lemma

Definitions

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  • noun category theory Given a category C with an object A, let HA 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(HA,F), the set of natural transformations from HA to F.

Etymologies

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Lemma named after the Japanese mathematician Nobuo Yoneda.

Examples

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