Compact metrizable groups are isometry groups of compact metric spaces
Abstract
Description
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.
Some typos are corrected in this version, otherwise the content remains the same
Some typos are corrected in this version, otherwise the content remains the same