A Topological Representation Theorem for Oriented Matroids

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We 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.
21 pages, 4 figures

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Combinatorics, Geometric Topology, 52C40 (Primary) 57N50, 57N45 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/65088

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209364
 http://arxiv.org/abs/math/0209364

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arXiv