Category of elements
id:
category-of-elements-249-18140065
title:
Category of elements
text:
In category theory, a branch of mathematics, the category of elements of a presheaf is a category associated to that presheaf whose objects are the elements of sets in the presheaf. The category of elements of a simplicial set is fundamental in simplicial homotopy theory, a branch of algebraic topology. More generally, the category of elements plays a key role in the proof that every weighted colimit can be expressed as an ordinary colimit, which is in turn necessary for the basic results in the
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Category_of_elements
date created:
date modified:
2023-09-30T15:20:04Z
main entity:
{"identifier":"Q5051844","url":"https://www.wikidata.org/entity/Q5051844"}
image:
fields total:
13
integrity:
13