Partitions of points into simplices with \(k\)-dimensional intersection. I: The conic Tverberg's theorem

DOI10.1006/eujc.2000.0493zbMath1007.52005OpenAlexW2415114898MaRDI QIDQ5944012

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.2000.0493

zbMATH Keywords

conicReay's conjectureTverberg's theorem

Mathematics Subject Classification ID

Helly-type theorems and geometric transversal theory (52A35)

Related Items (11)

Helge Tverberg is eighty: a personal tribute ⋮ Quantitative Tverberg theorems over lattices and other discrete sets ⋮ Intersecting diametral balls induced by a geometric graph ⋮ Intersecting ellipses induced by a max-sum matching ⋮ Some variations on Tverberg's theorem ⋮ Computational aspects of the colorful Carathéodory theorem ⋮ Quantitative combinatorial geometry for continuous parameters ⋮ Partitions of points into simplices with \(k\)-dimensional intersection. II: Proof of Reay's conjecture in dimensions 4 and 5 ⋮ The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg ⋮ New cases of Reay's conjecture on partitions of points into simplices with \(k\)-dimensional intersection ⋮ No-dimensional Tverberg theorems and algorithms

Cites Work

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• Partitions of points into intersecting tetrahedra
• On generalizations of Radon's theorem and the Ham sandwich theorem
• Tverberg's theorem via number fields
• An extension of Radon's theorem
• A generalization of Radon's theorem II
• A Generalization of Radon's Theorem
• A Further Generalization of Radon's Theorem
• The Geometry of Radon's Theorem
• Partitions of points into simplices with \(k\)-dimensional intersection. II: Proof of Reay's conjecture in dimensions 4 and 5

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