Pasting lemma
id:
pasting-lemma-294-7874640
title:
Pasting lemma
text:
In topology, the pasting or gluing lemma, and sometimes the gluing rule, is an important result which says that two continuous functions can be "glued together" to create another continuous function. The lemma is implicit in the use of piecewise functions. For example, in the book Topology and Groupoids, where the condition given for the statement below is that A ∖ B ⊆ Int A and B ∖ A ⊆ Int B . The pasting lemma is crucial to the construction of the fundamental group and fundamental groupoid
brand slug:
wiki
category slug:
encyclopedia
description:
Two continuous functions can be glued together to create another continuous function
original url:
https://en.wikipedia.org/wiki/Pasting_lemma
date created:
date modified:
2024-04-19T00:11:33Z
main entity:
{"identifier":"Q7143015","url":"https://www.wikidata.org/entity/Q7143015"}
image:
fields total:
13
integrity:
14