Lusternik–Schnirelmann theorem
id:
lusternik-schnirelmann-theorem-275-1659981
title:
Lusternik–Schnirelmann theorem
text:
In mathematics, the Lusternik–Schnirelmann theorem, aka Lusternik–Schnirelmann–Borsuk theorem or LSB theorem, says as follows. If the sphere Sn is covered by n + 1 closed sets, then one of these sets contains a pair (x, −x) of antipodal points. It is named after Lazar Lyusternik and Lev Schnirelmann, who published it in 1930.
brand slug:
wiki
category slug:
encyclopedia
description:
Existence of antipodal pairs in open covers of spheres
original url:
https://en.wikipedia.org/wiki/Lusternik%E2%80%93Schnirelmann_theorem
date created:
date modified:
2022-01-26T21:35:20Z
main entity:
{"identifier":"Q25098919","url":"https://www.wikidata.org/entity/Q25098919"}
image:
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13
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