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math.AT2005★ 2 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…