English Explanatory Dictionary

representable functor

English dictionary entry

Meanings

noun
  1. A functor from some category to the category of sets (Set) which is naturally isomorphic to a hom functor.

Word forms

representable functor representable functors

Etymology

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.

Synonyms

representable presheaf
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