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Displaying similar documents to “On Postnikov-true families of complexes and the Adams completion”

Restoration of structure

Peter Hilton, Joseph Roitberg (1981)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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Cochains and homotopy type

Michael A. Mandell (2006)

Publications Mathématiques de l'IHÉS

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Finite type nilpotent spaces are weakly equivalent if and only if their singular cochains are quasi-isomorphic as E algebras. The cochain functor from the homotopy category of finite type nilpotent spaces to the homotopy category of E algebras is faithful but not full.

Nilpotent subgroups of the group of fibre homotopy equivalences.

Yves Félix, Jean-Claude Thomas (1995)

Publicacions Matemàtiques

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Let ξ = (E, p, B, F) be a Hurewicz fibration. In this paper we study the space L(ξ) consisting of fibre homotopy self equivalences of ξ inducing by restriction to the fibre a self homotopy equivalence of F belonging to the group G. We give in particular conditions implying that π(L(ξ)) is finitely generated or that L(ξ) has the same rational homotopy type as aut(F).