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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....
KoopaTroopa's user avatar
3 votes

Matroids of hypercubes

A.O. Matveev's paper discusses these these matroids, but with a focus on topes rather than circuits.
Aaron Dall's user avatar

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