Oriented matroids and Ky Fan's theorem

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dc.creatorZivaljevic, Rade T.
dc.date2007-10-10
dc.date.accessioned2026-07-07T08:35:25Z
dc.date.available2026-07-07T08:35:25Z
dc.descriptionL. Lovasz has shown that Sperner's combinatorial lemma admits a generalization involving a matroid defined on the set of vertices of the associated triangulation. Inspired by this result we prove that classical Ky Fan's theorem admits an oriented matroid generalization of similar nature. Ky Fan's theorem is obtained as a corollary if the underlying oriented matroid is chosen to be the alternating matroid C^{m,r} .
dc.identifierhttps://arxiv.org/abs/0710.1981
dc.identifierhttp://arxiv.org/abs/0710.1981
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139743
dc.subjectCombinatorics
dc.subjectAlgebraic Topology
dc.subject52C40; 57R91
dc.titleOriented matroids and Ky Fan's theorem
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