Hostname: page-component-784d4fb959-hmhk7 Total loading time: 0 Render date: 2025-07-15T03:04:38.129Z Has data issue: false hasContentIssue false
  • English
  • Français

Measurable distal and topological distal systems

Published online by Cambridge University Press:  02 April 2001

ELON LINDENSTRAUSS
ELON LINDENSTRAUSS
Affiliation:
Hebrew University, Jerusalem, Israel (e-mail: elon@math.huji.ac.il)
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper we prove that any ergodic measurably distal system can be realized as a minimal topologically distal system with an invariant Borel measure of full support. The proof depends upon a theorem stating that every measurable function from a measurable system with its base space being a compact metric space to a connected compact group is cohomologous to a continuous function.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 4 , August 1999 , pp. 1063 - 1076
Copyright
1999 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable