On a universal ultrametric space

DOI10.1016/S0166-8641(99)00029-2zbMath0983.54031OpenAlexW2090319315MaRDI QIDQ1566934

Vladimir A. Lemin, Alex J. Lemin

Publication date: 4 June 2000

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(99)00029-2

zbMATH Keywords

isometric embeddingaxiom of choice\(p\)-adic numbercardinal numbernon-Archimedean normed field

Mathematics Subject Classification ID

Related Items (13)

On ultrametrization of general metric spaces ⋮ An embedding, an extension, and an interpolation of ultrametrics ⋮ Isometric embedding of finite ultrametric spaces in Banach spaces ⋮ Dimension zero at all scales ⋮ A generalization of set-valued Prešić-Reich type contractions in ultrametric spaces with applications ⋮ Set-valued contraction mappings of Prešić–Reich type in ultrametric spaces ⋮ Some fixed point results on ultrametric spaces endowed with a graph ⋮ Characterizing (quasi-)ultrametric finite spaces in terms of (directed) graphs ⋮ Approximation and stability of common fixed points of Prešić type mappings in ultrametric spaces ⋮ The Banaschewski compactification of an approach space is of Wallman-Shanin-type ⋮ On metric spaces with the properties of de Groot and Nagata in dimension one ⋮ Zero dimensionality of the Čech-Stone compactification of an approach space ⋮ The Banaschewski compactification revisited

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