Lusternik-Schnirelmann categories of non-simply connected compact simple Lie groups

Norio Iwase, Mamoru Mimura, Tetsu Nishimoto

Let $F\hookrightarrow X\to B$ be a fibre bundle with structure group $G$, where $B$ is $(d-1)$-connected and of finite dimension, $d\ge 1$. We prove that the strong L-S categ…