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Nilpotent subgroups of the group of fibre homotopy equivalences.

Yves Félix, Jean-Claude Thomas (1995)

Publicacions Matemàtiques

Let ξ = (E, p, B, F) be a Hurewicz fibration. In this paper we study the space LG(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 π1(LG(ξ)) is finitely generated or that L1(ξ) has the same rational homotopy type as aut1(F).

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