Axioms for maximal vectors of an oriented matroid; a combinatorial characterization of the regions determined by an arrangement of pseudohyperplanes

Bienia, 1987, An axiomatic of non-Radon partitions, Europ. J. Combin., 8, 1, 10.1016/S0195-6698(87)80014-8 Bjorner, 1993 Bland, 1978, Orientability of matroids, J. Combin. Theory, Ser. B, 24, 94, 10.1016/0095-8956(78)90080-1 da Silva, 1987, Quelques proprietés des matroides orientés Folkman, 1978, Oriented matroids, J. Combin. Theory, Ser. B, 25, 199, 10.1016/0095-8956(78)90039-4 Fukuda, 1982, Oriented matroid programming Handa, 1990, Characterization of oriented matroids in terms of topes, Europ. J. Combin., 11, 41, 10.1016/S0195-6698(13)80054-6 Lawrence, 1983, Lopsided sets and orthant Intersection by convex sets, Pac. J. Math., 104-1, 155, 10.2140/pjm.1983.104.155 Mandel, 1982, Topology of oriented matroids A. Mandel, quoted in [1]. Tomizawa, 1984, Theory of acycloid and holometry, RIMS Kokyuroku (Graph Theory and Applications), 534, 91