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20022005
most citedLusternik-Schnirelmann category of Spin{9}

2 citations · 2 across the 4 of their papers we have counts for

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8 papers

math.AT20052 cited

Lusternik-Schnirelmann category of Spin{9}

Norio Iwase, Akira Kono

Let G be a compact connected Lie group and p : E \to Σ^2V a principal G-bundle with a characteristic map α: A=ΣV \to G. By combining cone decomposition arguments in Iwase-Mimura-Ni…

math.AT2004

Splitting off Rational Parts in Homotopy Types

Norio Iwase, Nobuyuki Oda

It is known algebraically that any abelian group is a direct sum of a divisible group and a reduced group (See Theorem 21.3 of \cite{Fuchs:abelian-group}). In this paper, condition…

math.AT2003

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

Norio Iwase, Mamoru Mimura, Tetsu Nishimoto

Let be a fibre bundle with structure group , where is -connected and of finite dimension, . We prove that the strong L-S categ…

math.AT2002

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 .

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 , using a Toda bracket and a generalised cohomology theory g…

math.AT2002

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…