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Hyperplane arrangements, discrete geometry, convex polytopes, and optimization. For more general questions concerning matroids, use the matroid-theory tag.
0
votes
The lattice of covectors of an oriented matroid
I am aware, this is a quite old post, but I still would like to put my answer here.
In my opinion, the topological point of view (i.e. the topological representation theorem due to Falkman and Lawrenc …
3
votes
Accepted
The Salvetti complex of a non-realizable oriented matroid
I think, the reference you are looking for is the paper by Björner and Ziegler "Combinatorial Stratification of Complex Arrangements" in JAMS.
They give a complete combinatorial proof in Sec.7, using …