Compact metrizable groups are isometry groups of compact metric spaces

DOI10.1090/S0002-9939-07-08727-8zbMath1134.54013arXivmath/0505509MaRDI QIDQ5441187

Julien Melleray

Publication date: 8 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0505509

zbMATH Keywords

isometry groupPolish groupcompact metrizable group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Metric geometry (51F99)

Related Items (6)

Isometric models for separable groups with a bi-invariant metric ⋮ Some geometric and dynamical properties of the Urysohn space ⋮ Spatial models of Boolean actions and groups of isometries ⋮ Isometry groups of proper metric spaces ⋮ Isometry groups of separable metric spaces ⋮ Prescribed Riemannian symmetries

Cites Work

• On the classification of Polish metric spaces up to isometry
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