Minkowski addition of \(H\)-convex sets and related Helly-type theorems.

DOI10.1016/S0097-3165(03)00101-8zbMath1049.52001MaRDI QIDQ1406744

Vladimir G. Boltyanski, Horst Martini

Publication date: 7 September 2003

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

zbMATH Keywords

\(H\)-convex setMinkowski differenceHelly-type theorems\(M\)-complete Minkowski sum\(M\)-complete vector systemnon-one-sided

Mathematics Subject Classification ID

Axiomatic and generalized convexity (52A01) Other problems of combinatorial convexity (52A37) Helly-type theorems and geometric transversal theory (52A35)

Related Items

Intersection properties of polyhedral norms, Quantitative combinatorial geometry for concave functions

Cites Work

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• Excursions into combinatorial geometry
• The Critical Set of a Convex Body
• Carathéodory's theorem and \(H\)-convexity