Enumeration in convex geometries and associated polytopal subdivisions of spheres

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dc.creatorBillera, Louis J.
dc.creatorHsiao, Samuel K.
dc.creatorProvan, J. Scott
dc.date2005-05-26
dc.date2006-04-19
dc.date.accessioned2026-07-07T06:40:05Z
dc.date.available2026-07-07T06:40:05Z
dc.descriptionWe construct CW spheres from the lattices that arise as the closed sets of a convex closure, the meet-distributive lattices. These spheres are nearly polytopal, in the sense that their barycentric subdivisions are simplicial polytopes. The complete information on the numbers of faces and chains of faces in these spheres can be obtained from the defining lattices in a manner analogous to the relation between arrangements of hyperplanes and their underlying geometric intersection lattices.
dc.description18 pages, 4 figures; incorporates suggestions by referees; minor revisions throughout; expanded discussion on chain enumeration in last section; to be published in Discrete and Computational Geometry
dc.identifierhttps://arxiv.org/abs/math/0505576
dc.identifierhttp://arxiv.org/abs/math/0505576
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101307
dc.subjectCombinatorics
dc.subject05E99, 06A07, 52B05, 52B40 (primary); 06B99, 52C40 (secondary)
dc.titleEnumeration in convex geometries and associated polytopal subdivisions of spheres
dc.typetext

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