On immediate extensions of ultrametric spaces

DOI10.1007/BF03322231zbMath0866.54028MaRDI QIDQ1921426

Erwin Schörner

Publication date: 20 July 1997

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

ultrametric spacevalued fieldsultrametric distanceimmediate extensionpseudoconvergent sequencepseudolimit

Mathematics Subject Classification ID

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

Related Items (7)

Generalized ultrametric spaces. I ⋮ Generalized ultrametric spaces. II ⋮ Set-valued contraction mappings of Prešić–Reich type in ultrametric spaces ⋮ The approximation to a fixed point ⋮ Approximation and stability of common fixed points of Prešić type mappings in ultrametric spaces ⋮ The immersion of ultrametric spaces into Hahn spaces ⋮ On the completion of real valued ternary fields

Cites Work

• The Banach fixed point theorem for ultrametric spaces
• Fixed points, combs and generalized power series
• Maximal fields with valuations
• Maximality and Ultracompleteness in Normed Modules
• Unnamed Item

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