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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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