On ultrametrization of general metric spaces

DOI10.1090/S0002-9939-02-06605-4zbMath1011.54025MaRDI QIDQ4780440

Alex J. Lemin

Publication date: 19 November 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

categoryfunctorultrametricnon-expanding mapsubdominant ultrametric

Mathematics Subject Classification ID

Related Items (15)

Divisibility of countable metric 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 ⋮ Some fixed point results in ultrametric spaces ⋮ Preservation and destruction in simple refinements ⋮ Indivisible ultrametric spaces ⋮ 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 ⋮ Ultradiversification of diversities ⋮ Zero dimensionality of the Čech-Stone compactification of an approach space ⋮ The Banaschewski compactification revisited ⋮ Regular finite decomposition complexity ⋮ Subdominant pseudoultrametric on graphs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Smirnov compactification functor is one-to-one over the class of complete first countable spaces
• On a universal ultrametric space
• The classification of metrics and multivariate statistical analysis
• The category of ultrametric spaces is isomorphic to the category of complete, atomic, tree-like, and real graduated lattices LAT\(^*\)
• Normal families and dimension theory for metric spaces
• Non-Archimedean Metrics in Topology
• A note on Hausdorff spaces with the star-finite property, I
• Subdominant Ultrametrics
• On the stability of the property of a space being isosceles
• Inverse images of metric spaces under non-expanding open mappings
• Applications of the Theory of Boolean Rings to General Topology

This page was built for publication: On ultrametrization of general metric spaces