A Krasnosel'skii theorem for orthogonal polygons starshaped via staircase \((n + 1)\)-paths

DOI10.1007/S00010-010-0010-9zbMath1298.52008OpenAlexW1975292105MaRDI QIDQ623378

Marilyn Breen

Publication date: 14 February 2011

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-010-0010-9

zbMATH Keywords

orthogonal polygonsets starshaped via staircase pathstaircase convex

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)

Dimensions of staircase kernels in orthogonal polygons ⋮ Unions of orthogonally convex or orthogonally starshaped polygons

Cites Work

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• Families of planar sets having starlike union
• An improved Krasnosel'skij type theorem for orthogonal polygons which are starshaped via staircase paths
• Staircase kernels in orthogonal polygons
• On intersection of maximal orthogonally \(k\)-starshaped polygons
• Intersections and unions of orthogonal polygons starshaped via staircase \(n\)-paths
• On unions and intersections of simply connected planar sets
• Staircase two-guard kernels of orthogonal polygons

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