Journal of Combinatorial Theory, Series BVolume 33, Issue 3, December 1982, Pages 239-244The lattice of convex sets of an oriented matroidAuthor links open overlay panelPaul H EdelmanShow moreShareCitehttps://doi.org/10.1016/0095-8956(82)90043-0Get rights and contentUnder an Elsevier user licenseopen archiveAbstractUsing the theory of the anti-exchange closure the structure of the lattice of convex sets of an acyclic oriented matroid is described. A new expression for the characteristic polynomial of the underlying matroid is proven using this analysis.Previous article in issueNext article in issueRecommended articlesCited by (0)Copyright © 1982 Published by Elsevier Inc.