A method for integral cohomology of posets

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dc.creatorDiaz, Antonio
dc.date2007-06-14
dc.date.accessioned2026-07-07T08:10:07Z
dc.date.available2026-07-07T08:10:07Z
dc.descriptionWe present a method to compute integral cohomology of posets. This toolbox is applicable as soon as the sub-posets under each object possess certain structure. This is the case for simplicial complexes and simplex-like posets. The method is based on homological algebra arguments in the category of functors and on a spectral sequence built upon the poset. We show its relation to discrete Morse theory. As application we give an alternative proof of Webb's conjecture for saturated fusion systems and we compute the cohomology of Coxeter complexes for finite and infinite Coxeter groups.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/0706.2118
dc.identifierhttp://arxiv.org/abs/0706.2118
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131742
dc.subjectAlgebraic Topology
dc.subject55U
dc.titleA method for integral cohomology of posets
dc.typetext

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