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Anon-realizable lopsided subset of the 7-cube


Abstract


A lopsided set is a subset of the vertices of the n-cube that has a combinatorial property shared by the collection of orthants intersected by a convex subset of R<sup>n</sup>.The connection between lopsided sets and oriented matroids is exploited to obtain a lopsided subset of the 7-tube that cannot be realized as the collection of orthants intersected by a convex subset of R<sup>7</sup>.

DOI Code: 10.1285/i15900932v13n1p21

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