Compact metrizable groups are isometry groups of compact metric spaces

Details Compact metrizable groups are isometry groups of compact metric spaces Compact metrizable groups are isometry groups of compact metric spaces

2005-05-24

arxiv.org/abs/math/0505509v2

Mathematics

Group Theory

Some typos are corrected in this version, otherwise the content remains the same

Scientific paper

This note is devoted to proving the following result: given a compact
metrizable group G, there is a compact metric space K such that G is isomorphic
(as a topological group) to the isometry group of K.

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