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Results tagged with oriented-matroids
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user 15934
Hyperplane arrangements, discrete geometry, convex polytopes, and optimization. For more general questions concerning matroids, use the matroid-theory tag.
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The lattice of covectors of an oriented matroid
$L(M)$ is a monoid with covector composition and has a unary operation, its negation. Two oriented matroids are isomorphic iff their associated unary monoids are isomorphic, see my blogpost
http://b …
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Functionals on oriented matroids
Here is an algebraic proof inspired by Hugh's argument and ideas I had before asking this question. Please upvote his answer. First I need to slightly correct Question 1 to ask if any non-zero funct …