Topological representation of dual pairs of oriented matroids
type: Item
instance of: scholarly article
title: Topological representation of dual pairs of oriented matroids
zbMATH Open document ID: 0782.52007
DOI: 10.1007/BF02573978
author: Thomas H. Brylawski
author: Günter M. Ziegler
published in: Discrete \& Computational Geometry
publication date: 1993-11-28T00:00:00Z
full work available at URL: https://eudml.org/doc/131273
review text: We prove that every pair of dual oriented matroids can be represented in complementary subspheres of an arrangement of pseudospheres. This combines the Topological Representation Theorem for oriented matroids of Lawrence with Bland's construction of dual oriented matroids from pairs of orthogonal subspaces in \(\mathbb{R}^ n\).
reviewed by: Günter M. Ziegler
Mathematics Subject Classification ID: 52B40
Mathematics Subject Classification ID: 05B35
Mathematics Subject Classification ID: 52B35
Mathematics Subject Classification ID: 51D20
zbMATH DE Number: 437644
zbMATH Keywords: duality
zbMATH Keywords: topological representation
zbMATH Keywords: oriented matroids
MaRDI profile type: Publication
cites work: Q4003411
cites work: A combinatorial abstraction of linear programming
cites work: Q3728007
cites work: Oriented matroids
cites work: Unions of oriented matroids
OpenAlex ID: W2029916955
description: scientific article; zbMATH DE number 437644