Yoneda functor

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

Noun

 * 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.