Realizable but not strongly Euclidean oriented matroids

DOI10.1006/eujc.2000.0495zbMath0984.52020OpenAlexW2012535249MaRDI QIDQ5944014

Francisco Santos

Publication date: 13 May 2002

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/eujc.2000.0495

zbMATH Keywords

extension space conjecturestrongly Euclidean oriented matroids

Mathematics Subject Classification ID

Oriented matroids in discrete geometry (52C40)

Related Items (3)

A zonotope and a product of two simplices with disconnected flip graphs ⋮ A counterexample to the extension space conjecture for realizable oriented matroids ⋮ A counterexample to the extension space conjecture for realizable oriented matroids

Cites Work

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• Oriented matroids with few mutations
• Two constructions of oriented matroids with disconnected extension space
• The Cayley trick, lifting subdivisions and the Bohne-Dress theorem on zonotopal tilings
• Projections of polytopes and the generalized Baues conjecture
• Extension spaces of oriented matroids
• Cellular Strings on Polytopes
• On a mutation problem for oriented matroids

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