The Lusternik-Schnirelmann category of connected sum

27 Sep 2019 · Dranishnikov Alexander, Sadykov Rustam ·

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 $M_2$.