Applications of Klee's Dehn-Sommerville relations

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dc.creatorNovik, Isabella
dc.creatorSwartz, Ed
dc.date2008-05-19
dc.date.accessioned2026-07-07T09:39:40Z
dc.date.available2026-07-07T09:39:40Z
dc.descriptionWe use Klee's Dehn-Sommerville relations and other results on face numbers of homology manifolds without boundary to (i) prove Kalai's conjecture providing lower bounds on the f-vectors of an even-dimensional manifold with all but the middle Betti number vanishing, (ii) verify Kühnel's conjecture that gives an upper bound on the middle Betti number of a 2k-dimensional manifold in terms of k and the number of vertices, and (iii) partially prove Kühnel's conjecture providing upper bounds on other Betti numbers of odd- and even-dimensional manifolds. For manifolds with boundary, we derive an extension of Klee's Dehn-Sommerville relations and strengthen Kalai's result on the number of their edges.
dc.identifierhttps://arxiv.org/abs/0805.2773
dc.identifierhttp://arxiv.org/abs/0805.2773
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161258
dc.subjectCombinatorics
dc.subjectGeometric Topology
dc.subject52B05; 13F55
dc.titleApplications of Klee's Dehn-Sommerville relations
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