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The Lusternik-Schnirelmann category of connected sum
Published 27 Sep 2019 in math.AT and math.GT | (1909.12976v1)
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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