Gluing axiom
id:
gluing-axiom-251-10351918
title:
Gluing axiom
text:
In mathematics, the gluing axiom is introduced to define what a sheaf F on a topological space X must satisfy, given that it is a presheaf, which is by definition a contravariant functor to a category C which initially one takes to be the category of sets. Here O is the partial order of open sets of X ordered by inclusion maps; and considered as a category in the standard way, with a unique morphism if U is a subset of V , and none otherwise. As phrased in the sheaf article, there is a certain a
brand slug:
wiki
category slug:
encyclopedia
description:
Axiom specifying the requisites of a sheaf on a topological space
original url:
https://en.wikipedia.org/wiki/Gluing_axiom
date created:
date modified:
2024-04-20T01:57:02Z
main entity:
{"identifier":"Q5572389","url":"https://www.wikidata.org/entity/Q5572389"}
image:
fields total:
13
integrity:
14