Yoneda lemma (English, noun)
expansion: Yoneda lemma
Senses:
topics: category-theory
computing
engineering
mathematics
natural-sciences
physical-sciences
sciences
glosses: Given a category 𝒞 with an object A, let H be a hom functor represented by A, and let F be any functor (not necessarily representable) from 𝒞 to Sets, then there is a natural isomorphism between Nat(H,F), the set of natural transformations from H to F, and the set F(A). (Any natural transformation α from H to F is determined by what α_A( mbox id_A) is.)
Forms: