A generic distal tower of arbitrary countable height over an arbitrary infinite ergodic system | Zendy

Eli Glasner | Zendy; Benjamin Weiss | Zendy

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A generic distal tower of arbitrary countable height over an arbitrary infinite ergodic system

Author(s) -

Eli Glasner,

Benjamin Weiss

Publication year - 2021

Publication title -

journal of modern dynamics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.668

H-Index - 25

eISSN - 1930-532X

pISSN - 1930-5311

DOI - 10.3934/jmd.2021015

Subject(s) - mathematics , ergodic theory , countable set , tower , quotient , extension (predicate logic) , combinatorics , rank (graph theory) , pure mathematics , discrete mathematics , civil engineering , computer science , engineering , programming language

We show the existence, over an arbitrary infinite ergodic \begin{document}$ \mathbb{Z} $\end{document} -dynamical system, of a generic ergodic relatively distal extension of arbitrary countable rank and arbitrary infinite compact extending groups (or more generally, infinite quotients of compact groups) in its canonical distal tower.

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