The Lusternik-Schniremann-category and the fundamental group
classification
🧮 math.GT
keywords
biggfundamentalgroupcohomologicalcomplexdenotesdimensionevery
read the original abstract
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 $X$.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.