On staircase starshapedness in rectilinear spaces

DOI10.1007/BF00181420zbMath0866.52006OpenAlexW2026195320MaRDI QIDQ1126447

Victor Chepoi

Publication date: 8 December 1996

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00181420

zbMATH Keywords

starshapednessstaircase pathmedian polyhedrarectilinear polyhedrarectilinear polyhedron

Mathematics Subject Classification ID

Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Non-Desarguesian affine and projective planes (51A35)

Related Items (9)

A Krasnosel'skii-type theorem for certain orthogonal polytopes starshaped via \(k\)-staircase paths ⋮ A Helly-type theorem for intersections of certain orthogonal polytopes starshaped via \(k\)-staircase paths ⋮ A Krasnosel'skii-type theorem for an enlarged class of orthogonal polytopes ⋮ Radon and Carathéodory type theorems for staircase convexity ⋮ A Helly-type theorem for intersections of orthogonally starshaped sets in \(\mathbb R^d\) ⋮ A Helly theorem for an enlarged class of orthogonally starshaped sets in \(\mathbb {R}^d\) ⋮ Suitable families of boxes and kernels of staircase starshaped sets in \(\mathbb{R}^d\) ⋮ Generating a staircase starshaped set and its kernel in \({{\mathbb R}^3}\) from certain staircase convex subsets ⋮ Staircase convex results for a certain class of orthogonal polytopes

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