A direct solution to the Generic Point Problem

Andy Zucker

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arXiv · 1705.00205

A direct solution to the Generic Point Problem

Andy Zucker

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Abstract

We provide a new proof of a recent theorem of Ben-Yaacov, Melleray, and Tsankov. If $G$ is a Polish group and $X$ is a minimal, metrizable $G$-flow with all orbits meager, then the universal minimal flow $M(G)$ is non-metrizable. In particular, we show that given $X$ as above, the universal highly proximal extension of $X$ is non-metrizable.

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Andy Zucker. 2017-04-29. A direct solution to the Generic Point Problem. https://arxiv.org/abs/1705.00205

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