On the universal ultrametric space

DOI10.1007/BF01063173zbMath0871.54035OpenAlexW2054856023MaRDI QIDQ4870312

Igor A. Vestfrid

Publication date: 5 October 1997

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01063173

zbMATH Keywords

universal spaceseparable ultrametric space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Complete metric spaces (54E50) Metric spaces, metrizability (54E35) Embedding (54C25)

Related Items (14)

An embedding, an extension, and an interpolation of ultrametrics ⋮ Isometric embedding of finite ultrametric spaces in Banach spaces ⋮ Lipschitz-free spaces over ultrametric spaces ⋮ Polish ultrametric Urysohn spaces and their isometry groups ⋮ Constructions of Urysohn universal ultrametric spaces ⋮ Uniqueness and homogeneity of non-separable Urysohn universal ultrametric spaces ⋮ On ultrametric-preserving functions ⋮ Combinatorial properties of ultrametrics and generalized ultrametrics ⋮ Structural Ramsey theory of metric spaces and topological dynamics of isometry groups ⋮ 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 ⋮ Ultrametric spaces and related Hilbert spaces

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