Homotopy sphere representations for matroids

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dc.creatorAnderson, Laura
dc.date2009-03-16
dc.date.accessioned2026-07-07T12:52:54Z
dc.date.available2026-07-07T12:52:54Z
dc.descriptionFor any rank $r$ oriented matroid $M$, a construction is given of a "topological representation" of $M$ by an arrangement of homotopy spheres in a simplicial complex which is homotopy equivalent to $S^{r-1}$. The construction is completely explicit and depends only on a choice of maximal flag in $M$. If $M$ is orientable, then all Folkman-Lawrence representations of all orientations of $M$ embed in this representation in a homotopically nice way.
dc.identifierhttps://arxiv.org/abs/0903.2773
dc.identifierhttp://arxiv.org/abs/0903.2773
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223445
dc.subjectCombinatorics
dc.subject05B35, 52B40
dc.titleHomotopy sphere representations for matroids
dc.typetext

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