Generalised Helly and Radon numbers

DOI10.1017/S0004972700029270zbMath0779.52001OpenAlexW2165208122MaRDI QIDQ3971087

Krzysztof Kołodziejczyk

Publication date: 25 June 1992

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700029270

zbMATH Keywords

Radon numberconvexity spacegeneralized Helly number

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Convex sets in (2) dimensions (including convex curves) (52A10) Helly-type theorems and geometric transversal theory (52A35)

Related Items (1)

Colorful Carathéodory, Helly and sierksma numbers of convexity spaces

Cites Work

• Unnamed Item
• Several generalizations of Tverberg's theorem
• A Tverberg-type generalization of the Helly number of a convexity space
• Partition numbers for trees and ordered sets
• Generalized Radon partitions in convexity spaces
• Axiomatic convexity theory and relationships between the Carathéodory, Helly, and Radon numbers
• On Sets Projectively Equivalent to the Vertices of a Convex Polytope

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