Compact metrizable groups are isometry groups of compact metric spaces
Group Theory
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0505509,
title = {Compact metrizable groups are isometry groups of compact metric spaces},
author = {Julien Melleray},
journal= {arXiv preprint arXiv:math/0505509},
year = {2007}
}
Comments
Some typos are corrected in this version, otherwise the content remains the same