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2010 The Lusternik–Schnirelmann category and the fundamental group
Alexander N Dranishnikov
Algebr. Geom. Topol. 10(2): 917-924 (2010). DOI: 10.2140/agt.2010.10.917

Abstract

We prove that

cat LS X cd ( π 1 ( X ) ) + dim X 1 2

for every CW–complex X where cd(π1(X)) denotes the cohomological dimension of the fundamental group of X.

Citation

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Alexander N Dranishnikov. "The Lusternik–Schnirelmann category and the fundamental group." Algebr. Geom. Topol. 10 (2) 917 - 924, 2010. https://doi.org/10.2140/agt.2010.10.917

Information

Received: 23 September 2009; Revised: 16 February 2010; Accepted: 2 March 2010; Published: 2010
First available in Project Euclid: 19 December 2017

zbMATH: 1194.55008
MathSciNet: MR2629770
Digital Object Identifier: 10.2140/agt.2010.10.917

Subjects:
Primary: 55M30

Rights: Copyright © 2010 Mathematical Sciences Publishers

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