Bounds for the cup-length of Poincare spaces and their applications

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dc.creatorKorbas, Julius
dc.date2005-11-22
dc.date.accessioned2026-07-07T06:51:34Z
dc.date.available2026-07-07T06:51:34Z
dc.descriptionOur main result offers a new (quite systematic) way of deriving bounds for the cup-length of Poincare spaces over fields; we outline a general research program based on this result. For the oriented Grassmann manifolds, already a limited realization of the program leads, in many cases, to the exact values of the cup-length and to interesting information on the Lyusternik-Shnirel'man category.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0511546
dc.identifierhttp://arxiv.org/abs/math/0511546
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105031
dc.subjectAlgebraic Topology
dc.subjectDifferential Geometry
dc.subject57N65; 55M30 (Primary) 53C30 (Secondary)
dc.titleBounds for the cup-length of Poincare spaces and their applications
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