The Lusternik-Schniremann-category and the fundamental group

2009/09/24 by Alexander Dranishnikov, Dranishnikov, Alexander
Mathematics · #55M30 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:55M30

paper · pdf · doi:10.48550/arxiv.0909.4567

arxiv created 2009/09/24 · arxiv updated 2009/12/01

Abstract

We prove that \cat X≤ cd(π₁(X))+\lceil(dim X-1)/(2)\rceil for every CW complex X where cd(π₁(X)) denotes the cohomological dimension of the fundamental group of X.

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