Word.ws English Dictionary

representable functor

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

Noun

representable functor (plural representable functors)

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

Synonyms of representable functor

  • representable presheaf

Forms of representable functor

pluralrepresentable functors

Origin of representable functor

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.

Questions about representable functor

What does representable functor mean?
Representable functor means a functor from some category to the category of sets (Set) which is naturally isomorphic to a hom functor.
What part of speech is representable functor?
Representable functor is a noun.
What is the plural of representable functor?
The plural of representable functor is representable functors.

Words near representable functor in the dictionary

  1. represcription
  2. represcriptions
  3. represent
  4. representability
  5. representable
  6. representable functor
  7. representable functors
  8. representamen
  9. representamens
  10. representamina
  11. representance

Source and license

Adapted from Wiktionary: representable functor (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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