A Helly theorem for an enlarged class of orthogonally starshaped sets in \(\mathbb {R}^d\)

DOI10.1007/s13366-018-0385-7zbMath1402.52008OpenAlexW2793470167MaRDI QIDQ1992188

Marilyn Breen

Publication date: 2 November 2018

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

Full work available at URL: https://doi.org/10.1007/s13366-018-0385-7

zbMATH Keywords

Helly theoremorthogonal polytopestaircase starshaped set

Mathematics Subject Classification ID

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

Cites Work

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• On staircase starshapedness in rectilinear spaces
• An improved Krasnosel'skij type theorem for orthogonal polygons which are starshaped via staircase paths
• A Helly theorem for intersections of orthogonally starshaped sets
• A Krasnosel'skii-type theorem for an enlarged class of orthogonal polytopes
• The Helly theorem for star-shaped sets
• A Helly-type theorem for intersections of orthogonally starshaped sets in \(\mathbb R^d\)

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