On the nilpotency of rational H-spaces
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概要
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In \cite{BG}, it is proved that the Whitehead length of a space Z is less than or equal to the nilpotency of \varOmega Z. As for rational spaces, those two invariants are equal. We show this for a 1-connected rational space Z by giving a way to calculate those invariants from a minimal model for Z. This also gives a way to calculate the nilpotency of an homotopy associative rational H-space.
- 社団法人 日本数学会の論文
- 2005-10-01
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関連論文
- Low Rank Cohomology of the Classifying Spaces of Gauge Groups over 3-manifolds
- On the nilpotency of rational H-spaces