Measurable distal and topological distal systems

Elon Lindenstrauss*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


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.

Original languageAmerican English
Pages (from-to)1063-1076
Number of pages14
JournalErgodic Theory and Dynamical Systems
Issue number4
StatePublished - Aug 1999


Dive into the research topics of 'Measurable distal and topological distal systems'. Together they form a unique fingerprint.

Cite this