Sur les matroides orientes de rang 3 et les arrangements de pseudodroites dans le plan projectif réel

DOI10.1016/S0195-6698(82)80015-2zbMath0501.05021MaRDI QIDQ1172063

Raul Cordovil

Publication date: 1982

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

oriented matroids of rank 3projective diagrams of zonohedra

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Convex sets in (2) dimensions (including convex curves) (52A10) Combinatorial structures in finite projective spaces (51E20)

Related Items

Topes of oriented matroids and related structures, Polarity and point extensions in oriented matroids, Tverberg-type theorems for pseudoconfigurations of points in the plane, LR characterization of chirotopes of finite planar families of pairwise disjoint convex bodies, Convexity in partial cubes: the hull number, A category \(\mathcal{O}\) for oriented matroids, Hyperplane arrangements with a lattice of regions, Algebraic varieties characterizing matroids and oriented matroids, The complexity of point configurations, A homotopy theorem on oriented matroids, Unnamed Item, On the Folkman-Lawrence topological representation theorem for oriented matroids of rank 3, A graph-theoretical axiomatization of oriented matroids, A characterization of oriented matroids in terms of topes, Diameter of graphs of reduced words and galleries, The acyclic sets of an oriented matroid, Semispaces of configurations, cell complexes of arrangements, A combinatorial perspective on the non-Radon partitions, On the inversion of the sign of one basis in an oriented matroid

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convexity in oriented matroids
• A theorem of ordered duality
• Oriented matroids
• Orientability of matroids
• The classification of zonohedra by means of projective diagrams