On a colorful problem by Dol'nikov concerning translates of convex bodies

DOI10.1016/j.disc.2023.113789arXiv2307.07714OpenAlexW4388812573MaRDI QIDQ6136673

Edgardo Roldán-Pensado, Leonardo Martínez-Sandoval

Publication date: 17 January 2024

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.07714

zbMATH Keywords

Banach-Mazur metricpiercing numbercolorful theorems

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46Bxx) Conference proceedings and collections of articles (00Bxx) General convexity (52Axx)

Cites Work

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• Discrete geometry. Abstracts from the workshop held September 4--10, 2011.
• Piercing families of convex sets with the \(d\)-intersection property in \(\mathbb R^{d}\)
• Transversals for families of translates of a two-dimensional convex compact set
• On a problem by Dol'nikov
• John's decomposition in the general case and applications

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