representable functor
nounEtymology If a representable functor is naturally isomorphic to a hom functor mbox Hom(C,-) or mbox Hom(-,C), then the object C is said to represent that representable functor.
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Category theory, Computing, Engineering, Mathematics, Natural sciences, Physical sciences, Sciences A functor from some category to the category of sets (Set) which is naturally isomorphic to a hom functor.
- Synonyms
- representable presheaf