2 citations · 2 across the 4 of their papers we have counts for
5 papers · 2 filters
On the cellular decomposition and the Lusternik-Schnirelmann category of
Norio Iwase, Mamoru Mimura, Tetsu Nishimoto
We give a cellular decomposition of the compact connected Lie group . We also determine the L-S categories of and .
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 , using a Toda bracket and a generalised cohomology theory g…
A p-complete version of the Ganea Conjecture for co-H-spaces
J. R. Hubbuck, Norio Iwase
A finite connected CW complex which is a co-H-space is shown to have the homotopy type of a wedge of a bunch of circles and a simply-connected finite complex after almost -compl…
Lusternik-Schnirelmann category of a sphere-bundle over a sphere
Norio Iwase
A criterion to determine the L-S category of a total space of a sphere-bundle over a sphere is given in terms of homotopy invariants of its characteristic map, and thus providing a…
A_{\infty}-method in Lusternik-Schnirelmann category
Norio Iwase
To clarify the method behind the paper "Ganea's conjecture on Lusternik-Schnirelman category" by the author, a generalisation of Berstein-Hilton Hopf invariants is defined as `high…