%0 Journal Article %1 BenYaacov2017 %A Ben Yaacov, Itaï %A Melleray, Julien %A Tsankov, Todor %D 2017 %J Geometric and Functional Analysis %K flow fms group polish %N 1 %P 67--77 %R 10.1007/s00039-017-0398-7 %T Metrizable universal minimal flows of Polish groups have a comeagre orbit %U https://doi.org/10.1007/s00039-017-0398-7 %V 27 %X We prove that, whenever G is a Polish group with metrizable universal minimal flow M(G), there exists a comeagre orbit in M(G). It then follows that there exists an extremely amenable, closed, co-precompact subgroup G* of G such that \$\$\M(G) = \backslashwidehat\G/G^*\\\$\$M(G)=G/G∗^.

@article{BenYaacov2017, abstract = {We prove that, whenever G is a Polish group with metrizable universal minimal flow M(G), there exists a comeagre orbit in M(G). It then follows that there exists an extremely amenable, closed, co-precompact subgroup G* of G such that {\$}{\$}{\{}M(G) = {\backslash}widehat{\{}G/G^*{\}}{\}}{\$}{\$}M(G)=G/G∗^.}, added-at = {2018-09-16T14:56:02.000+0200}, author = {Ben Yaacov, Itaï and Melleray, Julien and Tsankov, Todor}, biburl = {https://www.bibsonomy.org/bibtex/277dcc19a7d1c9d884f6875ed5da55d3f/tomhanika}, day = 01, doi = {10.1007/s00039-017-0398-7}, interhash = {69949134c60ae217a0b7447c58e4d357}, intrahash = {77dcc19a7d1c9d884f6875ed5da55d3f}, issn = {1420-8970}, journal = {Geometric and Functional Analysis}, keywords = {flow fms group polish}, month = feb, number = 1, pages = {67--77}, timestamp = {2018-09-16T14:56:02.000+0200}, title = {Metrizable universal minimal flows of Polish groups have a comeagre orbit}, url = {https://doi.org/10.1007/s00039-017-0398-7}, volume = 27, year = 2017 }