Localization of epimorphisms and monomorphisms in homotopy theory
Lin Hong, Wenhuai Shen (1994)
Compositio Mathematica
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Displaying similar documents to “Miller spaces and spherical resolvability of finite complexes”
Localization of epimorphisms and monomorphisms in homotopy theory
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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).
Localization of nilpotent fibre maps.
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