A DIRECT SOLUTION TO THE GENERIC POINT PROBLEM

作者：Zucker Andy^*

来源：PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146(5): 2143-2148.

DOI：10.1090/proc/13909

• Topological dynamics
• Baire category

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.

• 出版日期2018-5