Compact metrizable groups are isometry groups of compact metric spaces
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- by Julien Melleray PDF
- Proc. Amer. Math. Soc. 136 (2008), 1451-1455 Request permission
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 $K$.References
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Additional Information
- Julien Melleray
- Affiliation: Université Paris 6, Boîte 186, 4 Place Jussieu, Paris Cedex 05, France
- MR Author ID: 781936
- Email: melleray@math.jussieu.fr
- Received by editor(s): January 10, 2006
- Received by editor(s) in revised form: March 7, 2006
- Published electronically: December 28, 2007
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 136 (2008), 1451-1455
- MSC (2000): Primary 54H11; Secondary 22A05, 51F99
- DOI: https://doi.org/10.1090/S0002-9939-07-08727-8
- MathSciNet review: 2367119