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arXiv:1909.12976 [math.AT]AbstractReferencesReviewsResources

The Lusternik-Schnirelmann category of connected sum

Alexander Dranishnikov, Rustam Sadykov

Published 2019-09-27Version 1

We use the Berstein-Hilton invariant to prove the formula $\cat(M_1\sharp M_2)=\max\{\cat M_1, \cat M_2\}$ for the Lustrnik-Schnirelmann category of the connected sum of closed manifolds $M_1$ and $M_2$.

Categories: math.AT, math.GT
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