Tucker's lemma
id:
tucker-s-lemma-290-15191361
title:
Tucker's lemma
text:
In mathematics, Tucker's lemma is a combinatorial analog of the Borsuk–Ulam theorem, named after Albert W. Tucker. Let T be a triangulation of the closed n-dimensional ball B n . Assume T is antipodally symmetric on the boundary sphere S n − 1 . That means that the subset of simplices of T which are in S n − 1 provides a triangulation of S n − 1 where if σ is a simplex then so is −σ.
Let L : V → { + 1 , − 1 , + 2 , − 2 , . . . , + n , − n } be a labeling of the vertices of T which is an odd func
brand slug:
wiki
category slug:
encyclopedia
description:
Combinatorial analog of the Borsuk-Ulam theorem
original url:
https://en.wikipedia.org/wiki/Tucker%27s_lemma
date created:
date modified:
2024-02-27T13:05:35Z
main entity:
{"identifier":"Q7851042","url":"https://www.wikidata.org/entity/Q7851042"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/54/TuckerLemExample.png","width":470,"height":458}
fields total:
13
integrity:
15