Helly-type theorems for intersections of sets starshaped via orthogonally convex paths

DOI10.1007/s00010-012-0151-0zbMath1276.52009OpenAlexW1984079904MaRDI QIDQ1925804

Marilyn Breen

Publication date: 19 December 2012

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-012-0151-0

zbMATH Keywords

Helly-type theoremssets starshaped via convex paths

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 (1)

Helly’s theorem: New variations and applications

Cites Work

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• Helly-type theorems for infinite and for finite intersections of sets starshaped via staircase paths
• Intersections of sets starshaped via paths of bounded length
• A Helly-type theorem for countable intersections of starshaped sets
• A Krasnosel'skii-type theorem for paths of bounded length
• The Helly theorem for star-shaped sets
• The structure of semispaces
• Planar compact sets whose intersections are starshaped via orthogonally convex paths

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