Nested set complexes for posets and the Bier construction

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dc.creatorLehmann, Juliane
dc.date2007-09-27
dc.date2008-02-04
dc.date.accessioned2026-07-07T09:18:08Z
dc.date.available2026-07-07T09:18:08Z
dc.descriptionWe generalize the concept of combinatorial nested set complexes to posets and exhibit the topological relationship between the arising nested set complexes and the order complex of the underlying poset. In particular, a sufficient condition is given so that this relationship is actually a subdivision. We use the results to generalize the proof method of Čukić and Delucchi, so far restricted to semilattices, for a result of Björner, Paffenholz, Sjöstrand and Ziegler on the Bier construction on posets.
dc.description9 pages, 3 figures; minor grammatical changes, figures updated
dc.identifierhttps://arxiv.org/abs/0709.4411
dc.identifierhttp://arxiv.org/abs/0709.4411
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153917
dc.subjectCombinatorics
dc.subjectAlgebraic Topology
dc.subject06A07, 57Q05
dc.titleNested set complexes for posets and the Bier construction
dc.typetext

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