A direct solution to the Generic Point Problem
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- by Andy Zucker PDF
- Proc. Amer. Math. Soc. 146 (2018), 2143-2148 Request permission
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 nonmetrizable. In particular, we show that given $X$ as above, the universal highly proximal extension of $X$ is nonmetrizable.References
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Additional Information
- Andy Zucker
- Affiliation: Department of Mathematical Sciences, Carnegie Mellon University, 500 Forbes Avenue, Pittsburgh, Pennsylvania, 15213
- MR Author ID: 1064415
- Received by editor(s): April 29, 2017
- Received by editor(s) in revised form: July 26, 2017, and July 27, 2017
- Published electronically: December 18, 2017
- Additional Notes: The author was partially supported by NSF Grant no. DGE 1252522.
- Communicated by: Ken Ono
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 2143-2148
- MSC (2010): Primary 37B05; Secondary 03E15
- DOI: https://doi.org/10.1090/proc/13909
- MathSciNet review: 3767364