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Rational category of the space of sections of a nilpotent bundle

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Commentarii Mathematici Helvetici

Abstract

Denote by ζ :F →E→pB a nilpotent fibration whereF is a 1-connected space of finite category andB a finite c.w. complex with non trivial rational cohomology. In this note we compute the rational category of the space Γ* of continuous pointed sections of ζ.

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  1. Institut Mathématique, 2, chemin du Cyclotron, 1348, Louvain-la-Neuve, Belgique

    Y. Félix

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  1. Y. Félix
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Félix, Y. Rational category of the space of sections of a nilpotent bundle. Commentarii Mathematici Helvetici 65, 615–622 (1990). https://doi.org/10.1007/BF02566629

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