Small values of Lusternik-Schnirelmann and systolic categories for manifolds

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dc.creatorDranishnikov, Alexander N.
dc.creatorKatz, Mikhail G.
dc.creatorRudyak, Yuli B.
dc.date2007-06-12
dc.date2007-07-23
dc.date.accessioned2026-07-07T08:19:19Z
dc.date.available2026-07-07T08:19:19Z
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 examine its ramifications in systolic topology, and provide a sufficient condition for ensuring a lower bound of 3 for systolic category.
dc.description22 pages; new section added
dc.identifierhttps://arxiv.org/abs/0706.1625
dc.identifierhttp://arxiv.org/abs/0706.1625
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134722
dc.subjectAlgebraic Topology
dc.subjectDifferential Geometry
dc.subject53C23; 55M30, 57N65
dc.titleSmall values of Lusternik-Schnirelmann and systolic categories for manifolds
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