A Topological Representation Theorem for Oriented Matroids

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dc.creatorBokowski, Juergen
dc.creatorKing, Simon
dc.creatorMock, Susanne
dc.creatorStreinu, Ileana
dc.date2002-09-26
dc.date.accessioned2026-07-07T04:51:17Z
dc.date.available2026-07-07T04:51:17Z
dc.descriptionWe present a new direct proof of a topological representation theorem for oriented matroids in the general rank case. Our proof is based on an earlier rank 3 version. It uses hyperline sequences and the generalized Sch{ö}nflies theorem. As an application, we show that one can read off oriented matroids from arrangements of embedded spheres of codimension one, even if wild spheres are involved.
dc.description21 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0209364
dc.identifierhttp://arxiv.org/abs/math/0209364
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65088
dc.subjectCombinatorics
dc.subjectGeometric Topology
dc.subject52C40 (Primary) 57N50, 57N45 (Secondary)
dc.titleA Topological Representation Theorem for Oriented Matroids
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