Localization of nilpotent fibre maps.
Irene Llerena (1982)
Collectanea Mathematica
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Displaying similar documents to “On Postnikov-true families of complexes and the Adams completion”
Localization of nilpotent fibre maps.
Restoration of structure
Peter Hilton, Joseph Roitberg (1981)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Infinitesimal computations in topology
Dennis Sullivan (1977)
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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.
Rational nilpotent groups as subgroups of self-homotopy equivalences
Salvina Piccarreta (2001)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Localization and cohomology of nilpotent groups
Peter Hilton (1973)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Nullification functors and the homotopy type of the classifying space for proper bundles.
Flores , Ramón J. (2005)
Algebraic & Geometric Topology
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Relative epimorphisms and monomorphisms in homotopy theory
Peter Hilton, Joseph Roitberg (1987)
Compositio Mathematica
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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).