# representable functor

> English word · Noun

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

## 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.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/representable-functor