Polish ultrametric Urysohn spaces and their isometry groups

DOI10.1016/j.topol.2010.12.003zbMath1220.54012OpenAlexW1997991694MaRDI QIDQ624422

Chuang Shao, Su Gao

Publication date: 9 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2010.12.003

zbMATH Keywords

isometry groupsuniversalUrysohn spacesPolish metric spacesultrametric Urysohn spaces

Mathematics Subject Classification ID

Complete metric spaces (54E50) Descriptive set theory (03E15) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (16)

The Katětov constructions on asymmetric spaces ⋮ An embedding, an extension, and an interpolation of ultrametrics ⋮ Can we classify complete metric spaces up to isometry? ⋮ Unsymmetric \(T_0\)-quasi-metrics ⋮ Constructions of Urysohn universal ultrametric spaces ⋮ Uniqueness and homogeneity of non-separable Urysohn universal ultrametric spaces ⋮ On comeager sets of metrics whose ranges are disconnected ⋮ Non-universality of automorphism groups of uncountable ultrahomogeneous structures ⋮ Dense locally finite subgroups of automorphism groups of ultraextensive spaces ⋮ On isometry and isometric embeddability between ultrametric Polish spaces ⋮ Neostability in countable homogeneous metric spaces ⋮ Polish metric spaces with fixed distance set ⋮ Isometric embeddings of Polish ultrametric spaces ⋮ Generalized Choquet spaces ⋮ Distance structures for generalized metric spaces ⋮ A novel construction of Urysohn universal ultrametric space via the Gromov-Hausdorff ultrametric

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Special issue: Based on lectures of the workshop on the Urysohn space, Ben-Gurion University of the Negev, Beer Sheva, Israel, May 21--24, 2006
• A Borel reductibility theory for classes of countable structures
• Structural Ramsey theory of metric spaces and topological dynamics of isometry groups
• Espaces ultramétriques
• Compact homogeneity of Uryson's universal metric space
• On the classification of Polish metric spaces up to isometry
• On the universal ultrametric space
• Complete analytic equivalence relations

This page was built for publication: Polish ultrametric Urysohn spaces and their isometry groups