Compact metrizable groups are isometry groups of compact metric spaces Export

@misc{citeulike:210414, 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.}, archivePrefix = {arXiv}, author = {Melleray, Julien}, citeulike-article-id = {210414}, citeulike-linkout-0 = {http://arxiv.org/abs/math.GR/0505509}, citeulike-linkout-1 = {http://arxiv.org/pdf/math.GR/0505509}, eprint = {math.GR/0505509}, keywords = {descriptive-set-theory}, month = {May}, posted-at = {2006-10-11 17:41:24}, priority = {2}, title = {Compact metrizable groups are isometry groups of compact metric spaces}, url = {http://arxiv.org/abs/math.GR/0505509}, year = {2005} }

TY - ELEC ID - citeulike:210414 L3 - citeulike-article-id:210414 N2 - 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. TI - Compact metrizable groups are isometry groups of compact metric spaces KW - descriptive-set-theory AU - Melleray, Julien PY - 2005/05/24/ UR - http://arxiv.org/abs/math.GR/0505509 ER -