Convex, acyclic, and free sets of an oriented matroid

DOI10.1007/s00454-001-0055-6zbMath0997.52016OpenAlexW1999419837MaRDI QIDQ1596358

Paul H. Edelman, Victor Reiner, Volkmar Welker

Publication date: 21 May 2002

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-001-0055-6

zbMATH Keywords

oriented matroidacyclic oriented matroidlattice of convex sets

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Ordered topological structures (06F30) Oriented matroids in discrete geometry (52C40)

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Oriented matroids and combinatorial neural codes ⋮ On empty convex polygons in a planar point set ⋮ On the topology of the free complexes of convex geometries ⋮ Efficient realizations of closure systems ⋮ Expected rank in antimatroids ⋮ Local topology of the free complex of a two-dimensional generalized convex shelling ⋮ Toric partial orders ⋮ Homotopy type of intervals of the second higher Bruhat orders ⋮ The facial weak order on hyperplane arrangements

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