The Lusternik-Schniremann-category and the fundamental group

Details The Lusternik-Schniremann-category and the fundamental group The Lusternik-Schniremann-category and the fundamental group

2009-09-24

arxiv.org/abs/0909.4567v1

Mathematics

Geometric Topology

Scientific paper

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 $X$.

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