Geometry of non-Archimedean Gromov-Hausdorff distance

DOI10.1134/S2070046609040050zbMath1253.53041arXiv0812.4822OpenAlexW1994037395MaRDI QIDQ1760205

Derong Qiu

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/0812.4822

zbMATH Keywords

metric spaceGromov-Hausdorff distancelocal field\(p\)-adic numbernon-Archimedean metric

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Algebraic number theory: local fields (11S99)

Related Items (14)

An embedding, an extension, and an interpolation of ultrametrics ⋮ Minimum spanning paths and Hausdorff distance in finite ultrametric spaces ⋮ On \(p\)-metric spaces and the \(p\)-Gromov-Hausdorff distance ⋮ Labeled trees generating complete, compact, and discrete ultrametric spaces ⋮ The ultrametric Gromov-Wasserstein distance ⋮ Uniqueness and homogeneity of non-separable Urysohn universal ultrametric spaces ⋮ On ultrametric-preserving functions ⋮ Combinatorial properties of ultrametrics and generalized ultrametrics ⋮ Diameter and diametrical pairs of points in ultrametric spaces ⋮ The structures of Hausdorff metric in non-Archimedean spaces ⋮ Finite ultrametric balls ⋮ A novel construction of Urysohn universal ultrametric space via the Gromov-Hausdorff ultrametric ⋮ The range of ultrametrics, compactness, and separability ⋮ Ultrametric preserving functions and weak similarities of ultrametric spaces

Cites Work

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