A Helly-type theorem for countable intersections of starshaped sets

DOI10.1007/s00013-004-1120-1zbMath1080.52006OpenAlexW2088725538MaRDI QIDQ1773930

Marilyn Breen

Publication date: 28 April 2005

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

Full work available at URL: https://doi.org/10.1007/s00013-004-1120-1

zbMATH Keywords

Helly type theoremstarshaped setconvex kernel

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 (6)

Bisecting envelopes of convex polygons ⋮ 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 ⋮ Starshaped sets ⋮ Intersections and unions of orthogonal polygons starshaped via staircase \(n\)-paths ⋮ Spindle starshaped sets

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