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

Eli Glasner, Benjamin Weiss

Research output: Contribution to journalArticlepeer-review

Abstract

We show the existence, over an arbitrary infinite ergodic Z-dynam-ical 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.

Original languageEnglish
Pages (from-to)435-463
Number of pages29
JournalJournal of Modern Dynamics
Volume17
DOIs
StatePublished - 2021

Keywords

  • Cocycles
  • Distal systems
  • Structure theory

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