English

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

Dynamical Systems 2020-09-16 v2

Abstract

We show the existence, over an arbitrary infinite ergodic Z\mathbb{Z}-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.

Keywords

Cite

@article{arxiv.2005.06780,
  title  = {A generic distal tower of arbitrary countable height over an arbitrary infinite ergodic system},
  author = {Eli Glasner and Benjamin Weiss},
  journal= {arXiv preprint arXiv:2005.06780},
  year   = {2020}
}

Comments

Improved presentation and corrected misprints

R2 v1 2026-06-23T15:32:19.243Z