A Krasnosel'skii-type theorem for certain orthogonal polytopes starshaped via \(k\)-staircase paths

DOI10.1515/advgeom-2019-0018zbMath1437.52004OpenAlexW3003969729MaRDI QIDQ2174104

Marilyn Breen

Publication date: 17 April 2020

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2019-0018

zbMATH Keywords

orthogonal polygonmedian spaceconvex via \(k\)-staircase pathsstarshaped via \(k\)-staircase 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)

A Helly-type theorem for intersections of certain orthogonal polytopes starshaped via \(k\)-staircase paths

Cites Work

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• Characterizing certain staircase convex sets in \(\mathbb R^d\)
• On staircase starshapedness in rectilinear spaces
• An improved Krasnosel'skij type theorem for orthogonal polygons which are starshaped via staircase paths
• A Krasnosel'skii-type theorem for an enlarged class of orthogonal polytopes
• Generalized convex kernels of simply connected \(L_n\) sets in the plane
• Characterizations of the Generalized Convex Kernel

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