Reflective subcategory
id:
reflective-subcategory-302-13477264
title:
Reflective subcategory
text:
In mathematics, a full subcategory A of a category B is said to be reflective in B when the inclusion functor from A to B has a left adjoint. This adjoint is sometimes called a reflector, or localization. Dually, A is said to be coreflective in B when the inclusion functor has a right adjoint. Informally, a reflector acts as a kind of completion operation. It adds in any "missing" pieces of the structure in such a way that reflecting it again has no further effect.
brand slug:
wiki
category slug:
encyclopedia
description:
Concept in mathematical theory of categories
original url:
https://en.wikipedia.org/wiki/Reflective_subcategory
date created:
date modified:
2024-03-17T21:19:12Z
main entity:
{"identifier":"Q6101219","url":"https://www.wikidata.org/entity/Q6101219"}
image:
fields total:
13
integrity:
14