Connectivity of h-complexes

dc.creatorHersh, Patricia
dc.date2003-11-16
dc.date.accessioned2026-07-07T05:02:57Z
dc.date.available2026-07-07T05:02:57Z
dc.descriptionThis paper verifies a conjecture of Edelman and Reiner regarding the homology of the $h$-complex of a Boolean algebra. A discrete Morse function with no low-dimensional critical cells is constructed, implying a lower bound on connectivity. This together with an Alexander duality result of Edelman and Reiner implies homology-vanishing also in high dimensions. Finally, possible generalizations to certain classes of supersolvable lattices are suggested.
dc.identifierhttps://arxiv.org/abs/math/0311271
dc.identifierhttp://arxiv.org/abs/math/0311271
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69218
dc.subjectCombinatorics
dc.subject05A05; 05E25
dc.titleConnectivity of h-complexes
dc.typetext

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