Uniqueness and homogeneity of non-separable Urysohn universal ultrametric spaces

DOI10.1016/j.topol.2023.108762arXiv2302.00306OpenAlexW4388840734MaRDI QIDQ6142710

Yoshito Ishiki

Publication date: 4 January 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.00306

zbMATH Keywords

homogeneityUrysohn universal ultrametric spaceuniqueness up to isometry

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Metric geometry (51F99)

Related Items (1)

Constructions of Urysohn universal ultrametric spaces

Cites Work

• Polish ultrametric Urysohn spaces and their isometry groups
• Some geometric and dynamical properties of the Urysohn space
• Geometry of non-Archimedean Gromov-Hausdorff distance
• A novel construction of Urysohn universal ultrametric space via the Gromov-Hausdorff ultrametric
• On \(p\)-metric spaces and the \(p\)-Gromov-Hausdorff distance
• Structural Ramsey theory of metric spaces and topological dynamics of isometry groups
• Compact homogeneity of Uryson's universal metric space
• On the universal ultrametric space
• A rigid Urysohn-like metric space

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