Adjoints of oriented matroids

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1986 English Publisher:Springer Science and Business Media LLCJournal:Combinatorica, volume 6, pages 299-308 (issn: 0209-9683, eissn: 1439-6912,

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Authors: Achim Bachem; Walter Kern;

doi: 10.1007/bf02579255

Adjoints of oriented matroids

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Abstract

An adjoint of a geometric lattice G is a geometric lattice \(\tilde G\) of the same rank into which there is an embedding e mapping the copoints of G onto the points of \(\tilde G.\) In this paper we introduce oriented adjoints and prove that they can be embedded into the extension lattice of oriented matroids.

Related Organizations

University of Cologne
Germany

Keywords

geometric lattice, oriented matroids, Combinatorial aspects of matroids and geometric lattices

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