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OverviewThe author considers the concept of triangulation of an oriented matroid. He provides a definition which generalizes the previous ones by Billera-Munson and by Anderson and which specializes to the usual notion of triangulation (or simplicial fan) in the realizable case. Then the relation existing between triangulations of an oriented matroid $\mathcal{M}$ and extensions of its dual $\mathcal{M}^*$, via the so-called lifting triangulations is studied, showing that this duality behaves particularly well in the class of Lawrence matroid polytopes. In particular, that the extension space conjecture for realizable oriented matroids is equivalent to the restriction to Lawrence polytopes of the Generalized Baues problem for subdivisions of polytopes. The book finishes by showing examples and a characterization of lifting triangulations. Full Product DetailsAuthor: Francisco SantosPublisher: American Mathematical Society Imprint: American Mathematical Society Edition: UK ed. Volume: No. 156 Weight: 0.198kg ISBN: 9780821827697ISBN 10: 0821827693 Pages: 80 Publication Date: 28 February 2002 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |