Small values of the Lusternik-Schnirelmann category for manifolds

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dc.creatorDranishnikov, Alexander N.
dc.creatorKatz, Mikhail G.
dc.creatorRudyak, Yuli B.
dc.date2008-05-11
dc.date.accessioned2026-07-07T09:38:15Z
dc.date.available2026-07-07T09:38:15Z
dc.descriptionWe prove that manifolds of Lusternik-Schnirelmann category 2 necessarily have free fundamental group. We thus settle a 1992 conjecture of Gomez-Larranaga and Gonzalez-Acuna, by generalizing their result in dimension 3, to all higher dimensions. We also obtain some general results on the relations between the fundamental group of a closed manifold M, the dimension of M, and the Lusternik-Schnirelmann category of M, and relate the latter to the systolic category of M.
dc.description16 pages, to appear in Geometry and Topology
dc.identifierhttps://arxiv.org/abs/0805.1527
dc.identifierhttp://arxiv.org/abs/0805.1527
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160743
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subject55M30; 53C23, 57N65
dc.titleSmall values of the Lusternik-Schnirelmann category for manifolds
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