Phrase guide

representable functor

noun · 1 senses · updated from the 2026-07-25 local source snapshot

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1

noun

Meaning 1

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

Definition source: English Wiktionary via Wiktextract

Topics: category-theory, computing, engineering, mathematics, natural-sciences, physical-sciences, sciences

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History

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.