%0 Journal Article
%T The Lusternik-Schniremann-category and the fundamental group
%A Alexander Dranishnikov
%J Mathematics
%D 2009
%I arXiv
%X We prove that $$ \cat X\le cd(\pi_1(X))+\bigg\lceil\frac{\dim X-1}{2}\bigg\rceil$$ for every CW complex $X$ where $cd(\pi_1(X))$ denotes the cohomological dimension of the fundamental group of $X$.
%U http://arxiv.org/abs/0909.4567v1