Generalized Radon partitions in convexity spaces

DOI10.1007/BF01899664zbMath0489.52001OpenAlexW1981936810MaRDI QIDQ1166774

Gerard Sierksma

Publication date: 1982

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01899664

zbMATH Keywords

upper boundEckhoff's boundnumber of generalized Radon partitionsRadon number of a convex product

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Axiomatic and generalized convexity (52A01) Other problems of combinatorial convexity (52A37)

Related Items (5)

Generalised Helly and Radon numbers ⋮ Visibility in semi-convex spaces ⋮ Extensions of set partitions ⋮ Density and dimension ⋮ On Eckhoff's conjecture for Radon numbers; or how far the proof is still away

Cites Work

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• Several generalizations of Tverberg's theorem
• A Tverberg-type generalization of the Helly number of a convexity space
• Extensions of set partitions
• Caratheodory- and Helly-numbers of convex-product-structures
• An extension of Radon's theorem
• Der Satz von Radon in konvexen Produktstrukturen. I
• Der Satz von Radon in konvexen Produktstrukturen. II
• Caratheodory theorems in convex product structures
• Axiomatic convexity theory and relationships between the Carathéodory, Helly, and Radon numbers
• A Quick Proof for a One-Dimensional Version of Liapounoff's Theorem
• A Generalization of Radon's Theorem

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