Rational nilpotent groups as subgroups of self-homotopy equivalences
Salvina Piccarreta (2001)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “Nilpotent subgroups of the group of fibre homotopy equivalences.”
Rational nilpotent groups as subgroups of self-homotopy equivalences
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We describe, for any compact connected Lie group G and any prime p, the monoid of self maps → which are rational equivalences. Here, denotes the p-adic completion of the classifying space of G. Among other things, we show that two such maps are homotopic if and only if they induce the same homomorphism in rational cohomology, if and only if their restrictions to the classifying space of the maximal torus of G are homotopic.
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