Geodesic
The Lusternik–Schnirelmann category and the fundamental group
Dranishnikov, Alexander N1
1Department of Mathematics, University of Florida, PO Box 118105, 358 Little Hall, Gainesville, FL 32611-8105
Algebraic and Geometric Topology, Tome 10 (2010) no. 2, pp. 917-924
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We prove that

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

DOI : 10.2140/agt.2010.10.917
Keywords: Lusternik–Schnirelmann category, cohomological dimension, fundamental group

Dranishnikov, Alexander N  1

1 Department of Mathematics, University of Florida, PO Box 118105, 358 Little Hall, Gainesville, FL 32611-8105 
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Dranishnikov, Alexander N. The Lusternik–Schnirelmann category and the fundamental group. Algebraic and Geometric Topology, Tome 10 (2010) no. 2, pp. 917-924. doi: 10.2140/agt.2010.10.917

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