Partitions of points into simplices with \(k\)-dimensional intersection. II: Proof of Reay's conjecture in dimensions 4 and 5

DOI10.1006/eujc.2000.0494zbMath1007.52006OpenAlexW2809854434WikidataQ123299597 ScholiaQ123299597MaRDI QIDQ5944013

Jean-Pierre Roudneff

Publication date: 26 March 2003

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

Full work available at URL: https://doi.org/10.1006/eujc.2000.0494

zbMATH Keywords

oriented matroidlopsidedness conjectureReay's conjectureTverberg's theorem

Mathematics Subject Classification ID

Helly-type theorems and geometric transversal theory (52A35) Oriented matroids in discrete geometry (52C40)

Related Items (3)

Partitions of points into simplices with \(k\)-dimensional intersection. I: The conic Tverberg's theorem ⋮ Tverberg’s theorem is 50 years old: A survey ⋮ New cases of Reay's conjecture on partitions of points into simplices with \(k\)-dimensional intersection

Cites Work

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• Transversals of circuits and acyclic orientations in graphs and matroids
• Partitions of points into intersecting tetrahedra
• An axiomatic of non-Radon partitions of oriented matroids
• An extension of Radon's theorem
• A generalization of Radon's theorem II
• A Generalization of Radon's Theorem
• Generalizations of a theorem of Carathéodory
• Theory of Positive Linear Dependence
• Partitions of points into simplices with \(k\)-dimensional intersection. I: The conic Tverberg's theorem

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