Oriented matroids from smooth manifolds
type: Item
instance of: scholarly article
title: Oriented matroids from smooth manifolds
zbMATH Open document ID: 0586.05012
DOI: 10.1016/0095-8956(87)90020-7
author: Douglas A. Miller
published in: Journal of Combinatorial Theory. Series B
publication date: 1987-01-01T00:00:00Z
review text: Results of Folkman and Lawrence and Mandel on representations of oriented matroids by topological spheres are used to prove a method of constructing oriented matroids from intersections of smooth topological hyperplanes. A class of such constructions is given corresponding to non real-representable matroids of rank p on \(2p+1\) elements, \(p\geq 4\).
Mathematics Subject Classification ID: 05B35
Mathematics Subject Classification ID: 90C05
zbMATH DE Number: 3939378
zbMATH Keywords: constructing oriented matroids
zbMATH Keywords: smooth topological hyperplanes
zbMATH Keywords: linear programming
MaRDI profile type: Publication
full work available at URL: 0095-8956(87)90020-7
OpenAlex ID: W2016646570
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description: scientific article; zbMATH DE number 3939378