A generalisation of Tverberg's theorem

DOI10.1007/s00454-011-9379-zzbMath1243.52005OpenAlexW2162144048MaRDI QIDQ411402

Pablo Soberón, Ricardo Strausz

Publication date: 4 April 2012

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-011-9379-z

zbMATH Keywords

toleranceTverberg partition

Mathematics Subject Classification ID

Partitions of sets (05A18) Other problems of combinatorial convexity (52A37)

Related Items (12)

Stochastic Tverberg Theorems With Applications in Multiclass Logistic Regression, Separability, and Centerpoints of Data ⋮ Tolerance for colorful Tverberg partitions ⋮ A note on the Tolerant Tverberg Theorem ⋮ On the number of vertices of projective polytopes ⋮ New lower bounds for Tverberg partitions with tolerance in the plane ⋮ Extensions of the colorful Helly theorem for d-collapsible and d-Leray complexes ⋮ Robust Tverberg and Colourful Carathéodory Results via Random Choice ⋮ Equal coefficients and tolerance in coloured Tverberg partitions ⋮ Algorithms for Radon partitions with tolerance ⋮ Tverberg’s theorem is 50 years old: A survey ⋮ The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg ⋮ ALGORITHMS FOR TOLERANT TVERBERG PARTITIONS

Cites Work

• Tolerance in Helly-type theorems
• A generalization of Caratheodory's theorem
• Tverberg's theorem via number fields
• A Generalization of Radon's Theorem
• On Sets Projectively Equivalent to the Vertices of a Convex Polytope
• Tverberg partitions and Borsuk-Ulam theorems.
• 10 points in dimension 4 not projectively equivalent to the vertices of a convex polytope
• Lawrence oriented matroids and a problem of McMullen on projective equivalences of polytopes
• Unnamed Item

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