Metrically homogeneous spaces

DOI10.1070/RM2002v057n02ABEH000495zbMath1063.54017MaRDI QIDQ4469804

Semeon A. Bogatyi

Publication date: 22 June 2004

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

metric spacesgluingClifford translationuniversal homogeneous metric spaceUryson construction

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Metric spaces, metrizability (54E35) Topological characterizations of particular spaces (54F65) Special maps on metric spaces (54E40) Compact (locally compact) metric spaces (54E45) Extension of maps (54C20) Embedding (54C25) Semimetric spaces (54E25) Direct methods ((G)-spaces of Busemann, etc.) (53C70)

Related Items (11)

The Urysohn universal metric space is homeomorphic to a Hilbert space ⋮ An embedding, an extension, and an interpolation of ultrametrics ⋮ Completeness of the isomorphism problem for separable \(C^\ast\)-algebras ⋮ Dimension zero at all scales ⋮ The oscillation stability problem for the Urysohn sphere: a combinatorial approach ⋮ Some geometric and dynamical properties of the Urysohn space ⋮ Structural Ramsey theory of metric spaces and topological dynamics of isometry groups ⋮ Globalization of confluent partial actions on topological and metric spaces ⋮ Unnamed Item ⋮ Ramsey degrees of finite ultrametric spaces, ultrametric Urysohn spaces and dynamics of their isometry groups ⋮ The Urysohn sphere is oscillation stable

This page was built for publication: Metrically homogeneous spaces