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Helly-type theorems for infinite and for finite intersections of sets starshaped via staircase paths

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Publication:945966
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zbMath1180.52012MaRDI QIDQ945966

Marilyn Breen

Publication date: 22 September 2008

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/230639


zbMATH Keywords

staircase kernelstaircase pathstaircase starshapedstaircase convexHelly-type theorems


Mathematics Subject Classification ID

Helly-type theorems and geometric transversal theory (52A35) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)


Related Items (3)

Intersections of staircase convex sets in \({\mathbb{R}}^3\) and \({\mathbb{R}}^d\) ⋮ Helly-type theorems for intersections of sets starshaped via orthogonally convex paths ⋮ Radon and Carathéodory type theorems for staircase convexity







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