Mapping cylinder
id:
mapping-cylinder-277-8826081
title:
Mapping cylinder
text:
In mathematics, specifically algebraic topology, the mapping cylinder of a continuous function f between topological spaces X and Y is the quotient where the ⨿ denotes the disjoint union, and ~ is the equivalence relation generated by That is, the mapping cylinder M f is obtained by gluing one end of X × [ 0 , 1 ] to Y via the map f . Notice that the "top" of the cylinder { 1 } × X is homeomorphic to X , while the "bottom" is the space f ⊂ Y . It is common to write M f for M f , and to use the n
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Mapping_cylinder
date created:
date modified:
2024-02-12T10:51:56Z
main entity:
{"identifier":"Q1014869","url":"https://www.wikidata.org/entity/Q1014869"}
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fields total:
13
integrity:
13