Essentially surjective functor
id:
essentially-surjective-functor-319-14648800
title:
Essentially surjective functor
text:
In mathematics, specifically in category theory, a functor is essentially surjective if each object d of D is isomorphic to an object of the form F c for some object c of C . Any functor that is part of an equivalence of categories is essentially surjective. As a partial converse, any full and faithful functor that is essentially surjective is part of an equivalence of categories.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Essentially_surjective_functor
date created:
date modified:
2024-03-04T19:02:20Z
main entity:
{"identifier":"Q140283","url":"https://www.wikidata.org/entity/Q140283"}
image:
fields total:
13
integrity:
13