Abstract
We prove that
for every CW–complex where denotes the cohomological dimension of the fundamental group of .
Citation
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
Keywords:
cohomological dimension
,
fundamental group
,
Lusternik–Schnirelmann category
Rights: Copyright © 2010 Mathematical Sciences Publishers