Word Pronunciation & Dictionary

representable functor

Word Rarity Very rare

Frequency: Zipf frequency 1.66 in modern English

Syllables
rep-re-sentable -func-tor
IPA
29
Scrabble Score
20
Letters
5
Syllables
13
Unique Chars

Meaning

noun

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.

Inflected Forms

Synonyms

representable presheaf

Questions

What does representable functor mean?
A functor from some category to the category of sets (Set) which is naturally isomorphic to a hom functor.
Where does representable functor come from?
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.

How to pronounce representable functor

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