Open AccessA 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.