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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)
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Abstract

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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