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 
.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 
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.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 .DOI Code:
10.1285/i15900932v13n1p21
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