M. Mimura

collaborators

3 papers

math.AT2003

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

Norio Iwase, Mamoru Mimura, Tetsu Nishimoto

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

math.AT2002

On the cellular decomposition and the Lusternik-Schnirelmann category of $S p in (7)$

Norio Iwase, Mamoru Mimura, Tetsu Nishimoto

We give a cellular decomposition of the compact connected Lie group $S p in (7)$ . We also determine the L-S categories of $S p in (7)$ and $S p in (8)$ .

math.AT2002

L-S categories of simply-connected compact simple Lie groups of low rank

Norio Iwase, Mamoru Mimura

We determine the L-S category of Sp(3) by showing that the 5-fold reduced diagonal $\widebarΔ_5$ is given by $ν^{2}$ , using a Toda bracket and a generalised cohomology theory $h^{*}$ g…

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

On the cellular decomposition and the Lusternik-Schnirelmann category of Spin(7)

L-S categories of simply-connected compact simple Lie groups of low rank

On the cellular decomposition and the Lusternik-Schnirelmann category of $S p in (7)$