Geodesic
An upper bound on the LS category in presence of the fundamental group
Dranishnikov, Alexander1
1 Department of Mathematics, University of Florida, Gainesville, FL, United States
Algebraic and Geometric Topology, Tome 19 (2019) no. 7, pp. 3601-3614

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We prove that

for every CW complex X, where cd(π1(X)) denotes the cohomological dimension of the fundamental group of X. We obtain this as a corollary of the inequality

where uX: X → Bπ1(X) is a classifying map for the universal covering of X.

DOI : 10.2140/agt.2019.19.3601
Classification : 55M30
Keywords: Lusternik–Schnirelmann category, cohomological dimension of groups

Dranishnikov, Alexander 1

1 Department of Mathematics, University of Florida, Gainesville, FL, United States 
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Dranishnikov, Alexander. An upper bound on the LS category in presence of the fundamental group. Algebraic and Geometric Topology, Tome 19 (2019) no. 7, pp. 3601-3614. doi: 10.2140/agt.2019.19.3601

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