Weakly mixing proximal topological models for ergodic systems and applications
Tom 236 / 2017
Fundamenta Mathematicae 236 (2017), 161-185
MSC: Primary 37B05; Secondary 37A05.
DOI: 10.4064/fm76-2-2016
Opublikowany online: 26 August 2016
Streszczenie
It is shown that every non-periodic ergodic system has two topologically weakly mixing, fully supported models: one is non-minimal but has a dense set of minimal points, and the other one is proximal. Also, for a given Kakutani–Rokhlin tower with relatively prime column heights, it is demonstrated how to get a new tall Kakutani–Rokhlin tower with the same property, which can be used in Weiss’s proof of Jewett–Krieger’s theorem and in the proofs of our theorems. Applications of the results are given.
