Radon and Carathéodory type theorems for staircase convexity

DOI10.1007/S00010-023-00945-2OpenAlexW4323317946WikidataQ123269681 ScholiaQ123269681MaRDI QIDQ2699237

Marilyn Breen

Publication date: 26 April 2023

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

Full work available at URL: https://doi.org/10.1007/s00010-023-00945-2

zbMATH Keywords

staircase convexityCarathéodory-type theoremRadon-type theorem

Mathematics Subject Classification ID

Helly-type theorems and geometric transversal theory (52A35) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30) Real functions (26-XX)

Cites Work

• Helly-type theorems for infinite and for finite intersections of sets starshaped via staircase paths
• On staircase starshapedness in rectilinear spaces
• An improved Krasnosel'skij type theorem for orthogonal polygons which are starshaped via staircase paths
• Intersections of staircase convex sets in \({\mathbb{R}}^3\) and \({\mathbb{R}}^d\)
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