Quasi finite loop spaces are manifolds

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dc.creatorKitchloo, N.
dc.creatorNotbohm, D.
dc.date2002-09-10
dc.date.accessioned2026-07-07T04:50:43Z
dc.date.available2026-07-07T04:50:43Z
dc.descriptionIt is an old conjecture, that finite $H$-spaces are homotopy equivalent to manifolds. Here we prove that this conjecture is true for loop spaces. Actually, we show that every quasi finite loop space is equivalent to a stably parallelizable manifold. The proof is conceptual and relies on the theory of p-compact groups. On the way we also give a complete classification of all simple 2-compact groups of rank 2.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0209103
dc.identifierhttp://arxiv.org/abs/math/0209103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64893
dc.subjectAlgebraic Topology
dc.titleQuasi finite loop spaces are manifolds
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