Abstract
We prove that
for every CW complex , where denotes the cohomological dimension of the fundamental group of . We obtain this as a corollary of the inequality
where is a classifying map for the universal covering of .
Citation
Alexander Dranishnikov. "An upper bound on the LS category in presence of the fundamental group." Algebr. Geom. Topol. 19 (7) 3601 - 3614, 2019. https://doi.org/10.2140/agt.2019.19.3601
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