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arXiv · 1909.12976

The Lusternik-Schnirelmann category of connected sum

Alexander Dranishnikov·Rustam Sadykov
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Abstract

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 $M_2$.

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Alexander Dranishnikov, Rustam Sadykov. 2019-09-27. The Lusternik-Schnirelmann category of connected sum. https://arxiv.org/abs/1909.12976

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