Diameter and diametrical pairs of points in ultrametric spaces

DOI10.1134/S2070046611040017zbMath1304.54049arXiv1110.0781MaRDI QIDQ1760289

Dmitry Dordovskyi, Evgenii A. Petrov, Aleksey A. Dovgoshey

Publication date: 13 November 2012

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0781

zbMATH Keywords

ultrametric spacecomplete \(k\)-partite graphdiameter of sets in ultrametric spaces

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35)

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Cites Work

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• Indivisible ultrametric spaces
• Geometry of non-Archimedean Gromov-Hausdorff distance
• Ultrametricity and metric betweenness in tangent spaces to metric spaces
• The category of ultrametric spaces is isomorphic to the category of complete, atomic, tree-like, and real graduated lattices LAT\(^*\)
• Products of metric spaces, covering numbers, packing numbers and characterizations of ultrametric spaces

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