Le tor différentiel d'une fibration non nilpotente
type: Item
instance of: scholarly article
title: Le tor différentiel d'une fibration non nilpotente
zbMATH Open document ID: 0574.55008
DOI: 10.1016/0022-4049(85)90010-6
author: Yves Félix
author: Jean-Claude Thomas
published in: Journal of Pure and Applied Algebra
publication date: 1985-01-01T00:00:00Z
review text: In a nonnilpotent fibration \(F\to E\to B\), the rational cohomology \(H^*(F;{\mathbb{Q}})\) is not a rational homotopy type invariant of the fibration. Considering the canonical action of \(\pi_ 1(B)\) on \(H^*(F;{\mathbb{Q}})\), one sees how a submodule of \(H^*(F;{\mathbb{Q}})\) is such an invariant. Some applications are given on Quillen plus construction, De Rham \(\Psi\)-homotopy of a nonnilpotent space and infinite cyclic covering.
Mathematics Subject Classification ID: 55P62
Mathematics Subject Classification ID: 55R05
Mathematics Subject Classification ID: 55P15
Mathematics Subject Classification ID: 57M10
zbMATH DE Number: 3917254
zbMATH Keywords: De Rham homotopy
zbMATH Keywords: nonnilpotent fibration
zbMATH Keywords: rational cohomology
zbMATH Keywords: rational homotopy type invariant
zbMATH Keywords: Quillen plus construction
zbMATH Keywords: infinite cyclic covering
reviewed by: Georges Hoff
MaRDI profile type: Publication
full work available at URL: 0022-4049(85)90010-6
OpenAlex ID: W2023938367
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description: scientific article; zbMATH DE number 3917254