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Oriented Matroids and Geometric Sorting

Published online by Cambridge University Press:  20 November 2018

Raul Cordovil*
Affiliation:
Centro De Física Da Matéria Condensada (INIC), Av. Prof. Gama Pinto 2, 1699 Lisboa CodexPortugal, Centro De Matemática Da, Universidade De Coimbra (INIC), Universidade De Coimbra, 3000 Coimbra, Portugal
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Abstract

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Recently Goodman and Pollack [3] have proved a theorem which can be applied to encode in a compact form the order properties of an arbitrary configuration of points in ℝd. In this note we generalise this theorem to oriented matroids.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1983