Positive bases, cones, Helly-type theorems

DOI10.1515/MS-2024-0054zbMATH Open1542.52007MaRDI QIDQ6563211

Imre Bárány

Publication date: 27 June 2024

Published in: Mathematica Slovaca (Search for Journal in Brave)

zbMATH Keywords

convex bodiespositive basesHelly's theorem

Mathematics Subject Classification ID

Helly-type theorems and geometric transversal theory (52A35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• A Generalization of Helly's Theorem
• Two Helly Type Theorems
• A Helly type Theorem for Convex Sets
• Convex and Discrete Geometry
• Unique Minimal Representations with Positive Bases
• Helly-type problems
• The dimension of intersections of convex sets

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