Shellable complexes and topology of diagonal arrangements

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dc.creatorKim, Sangwook
dc.date2006-10-30
dc.date2008-04-12
dc.date.accessioned2026-07-07T09:31:46Z
dc.date.available2026-07-07T09:31:46Z
dc.descriptionWe prove that if a simplicial complex is shellable, then the intersection lattice for the corresponding diagonal arrangement is homotopy equivalent to a wedge of spheres. Furthermore, we describe precisely the spheres in the wedge, based on the data of shelling. Also, we give some examples of diagonal arrangements where the complement is K(π,1), coming from rank 3 matroids.
dc.description25 pages, 5 figures; Final version, to appear in Discrete & Computational Geometry
dc.identifierhttps://arxiv.org/abs/math/0610941
dc.identifierhttp://arxiv.org/abs/math/0610941
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158579
dc.subjectCombinatorics
dc.subject52C35; 52B22; 05B35
dc.titleShellable complexes and topology of diagonal arrangements
dc.typetext

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