The new theory of ultrametric spaces

DOI10.1007/BF01879736zbMath0856.54033MaRDI QIDQ1922121

Paulo Ribenboim

Publication date: 24 February 1997

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

spherically complete ultrametric spaces

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) General valuation theory for fields (12J20)

Related Items (11)

On Non-Archimedean Valued Fields: A Survey of Algebraic, Topological and Metric Structures, Analysis and Applications ⋮ 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 ⋮ Approximation and stability of common fixed points of Prešić type mappings in ultrametric spaces ⋮ Combinatorial properties of ultrametrics and generalized ultrametrics ⋮ Summary on non-Archimedean valued fields ⋮ Generalized open mapping theorem for \(X\)-normed spaces ⋮ The range of ultrametrics, compactness, and separability ⋮ \(p\)-adic metric preserving functions and their analogues ⋮ A general Hensel's lemma

Cites Work

• The Banach fixed point theorem for ultrametric spaces
• Fixed points, combs and generalized power series
• Ordering the set of antichains of an ordered set
• Unnamed Item

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