Double (manifold)
id:
double-manifold-263-8744407
title:
Double (manifold)
text:
In the subject of manifold theory in mathematics, if M is a topological manifold with boundary, its double is obtained by gluing two copies of M together along their common boundary. Precisely, the double is M × { 0 , 1 } / ∼ where ∼ for all x ∈ ∂ M . If M has a smooth structure, then its double can be endowed with a smooth structure thanks to a collar neighbourdhood. Although the concept makes sense for any manifold, and even for some non-manifold sets such as the Alexander horned sphere, the n
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wiki
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encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Double_(manifold)
date created:
date modified:
2023-12-14T19:20:13Z
main entity:
{"identifier":"Q5299641","url":"https://www.wikidata.org/entity/Q5299641"}
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13
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13