Ultrametricity and metric betweenness in tangent spaces to metric spaces

DOI10.1134/S2070046610020020zbMath1276.53052arXiv0904.4356OpenAlexW2046051987MaRDI QIDQ1760222

Dmytro Dordovskyi, 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/0904.4356

zbMATH Keywords

metric spacesultrametric spacespretangent spacesmetric betweenness

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (14)

An ultrametricity condition for pretangent spaces ⋮ Completeness, closedness and metric reflections of pseudometric spaces ⋮ On generalized statistical and ideal convergence of metric-valued sequences ⋮ On ultrametric-preserving functions ⋮ Metric tangent spaces to Euclidean spaces ⋮ Metric betweenness, Ptolemaic spaces, and isometric embeddings of pretangent spaces in \(\mathbb R\) ⋮ Combinatorial properties of ultrametrics and generalized ultrametrics ⋮ Diameter and diametrical pairs of points in ultrametric spaces ⋮ On the statistical convergence of metric-valued sequences ⋮ Finite spaces pretangent to metric spaces at infinity ⋮ Finite ultrametric balls ⋮ The range of ultrametrics, compactness, and separability ⋮ Ultrametric preserving functions and weak similarities of ultrametric spaces ⋮ Subdominant pseudoultrametric on graphs

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