Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 
 

 

A direct solution to the Generic Point Problem


Author: Andy Zucker
Journal: Proc. Amer. Math. Soc. 146 (2018), 2143-2148
MSC (2010): Primary 37B05; Secondary 03E15
DOI: https://doi.org/10.1090/proc/13909
Published electronically: December 18, 2017
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 37B05, 03E15

Retrieve articles in all journals with MSC (2010): 37B05, 03E15


Additional Information

Andy Zucker
Affiliation: Department of Mathematical Sciences, Carnegie Mellon University, 500 Forbes Avenue, Pittsburgh, Pennsylvania, 15213

DOI: https://doi.org/10.1090/proc/13909
Keywords: Topological dynamics, Baire category
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
Article copyright: © Copyright 2017 American Mathematical Society

American Mathematical Society