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The Helly theorem for star-shaped sets

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Publication:1848079
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DOI10.1023/A:1011367730490zbMath1013.52006OpenAlexW55221811MaRDI QIDQ1848079

N. A. Bobylev

Publication date: 30 October 2002

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011367730490


zbMATH Keywords

star-shaped setsHelly-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 (7)

Helly-type theorems for intersections of sets starshaped via orthogonally convex paths ⋮ A Helly-type theorem for intersections of certain orthogonal polytopes starshaped via \(k\)-staircase paths ⋮ Starshaped sets ⋮ 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 \(\mathbb {R}^d\) ⋮ Spindle starshaped sets







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