A Tverberg type theorem for staircase convexity

DOI10.1007/S00010-023-00989-4zbMATH Open1542.52008MaRDI QIDQ6562885

Marilyn Breen

Publication date: 27 June 2024

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

zbMATH Keywords

staircase convexitystaircase hullTverberg-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)

Cites Work

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• Helly-type theorems for infinite and for finite intersections of sets starshaped via staircase paths
• Über Mengen konvexer Körper mit gemeinschaftlichen Punkten.
• Mengen konvexer Körper, die einen gemeinsamen Punkt enthalten.
• Über den Variabilitätsbereich der Koeffizienten von Potenzreihen, die gegebene Werte nicht annehmen.
• Radon and Carathéodory type theorems for staircase convexity
• A note concerning kernels of staircase starshaped sets in \({\mathbb R}^d\)
• The discrete yet ubiquitous theorems of Carathéodory, Helly, Sperner, Tucker, and Tverberg
• A Generalization of Radon's Theorem

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