A Krasnosel'skii-type theorem for an enlarged class of orthogonal polytopes

DOI10.1515/advgeom-2017-0031zbMath1410.52005OpenAlexW2763310134MaRDI QIDQ1707420

Marilyn Breen

Publication date: 29 March 2018

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

Full work available at URL: https://doi.org/10.1515/advgeom-2017-0031

zbMATH Keywords

orthogonal polygonstaircase convex setstaircase starshaped setmedian space

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 (2)

A Krasnosel'skii-type theorem for certain orthogonal polytopes starshaped via \(k\)-staircase paths ⋮ A Helly theorem for an enlarged class of orthogonally starshaped sets in \(\mathbb {R}^d\)

Cites Work

• Characterizing certain staircase convex sets in \(\mathbb R^d\)
• On staircase starshapedness in rectilinear spaces
• Parallel concepts in graph theory
• An improved Krasnosel'skij type theorem for orthogonal polygons which are starshaped via staircase paths
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