Monday, January 29, 2018 - 13:00 to 13:50
Thackeray 321
Abstract or Additional Information
We provide a new proof of a recent theorem of Ben-Yaacov, Melleray, and Tsankov. If $G$ is a Polish group and there is a minimal, metrizable $G$-flow $X$ with all orbits meager, then the universal minimal flow $M(G)$ is non-metrizable. In particular, we will show that given $X$ as above, the universal highly proximal extension of $X$ is non-metrizable.