A Helly theorem for intersections of orthogonally starshaped sets

DOI10.1007/S00013-003-4639-7zbMath1034.52006OpenAlexW2041280154MaRDI QIDQ1413640

Marilyn Breen

Publication date: 17 November 2003

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

Full work available at URL: https://doi.org/10.1007/s00013-003-4639-7

zbMATH Keywords

Helly's theoremorthogonal polygonstarshaped setstarshaped set via starcase 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 (6)

Bisecting envelopes of convex polygons ⋮ A Helly-type theorem for intersections of certain orthogonal polytopes starshaped via \(k\)-staircase paths ⋮ A Helly-type theorem for intersections of orthogonally starshaped sets in \(\mathbb R^d\) ⋮ Intersections and unions of orthogonal polygons starshaped via staircase \(n\)-paths ⋮ A Helly theorem for an enlarged class of orthogonally starshaped sets in \(\mathbb {R}^d\) ⋮ Generating a staircase starshaped set from a minimal collection of its subsets

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