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Iterated extensions

Published online by Cambridge University Press:  13 August 2009

Robert Ellis  and
Shmuel Glasner
Robert Ellis
Affiliation:
Minnesota 55455, and Department of Mathematics, Tel Aviv University, Tel Aviv, Israel
Shmuel Glasner
Affiliation:
Minnesota 55455, and Department of Mathematics, Tel Aviv University, Tel Aviv, Israel
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Abstract

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The notion of an iterated extension of a flow is introduced and studied. In particular it is shown how eigenfunctions occur in a natural way. This is then exploited to produce an example of a weakly mixing minimal set with a non-weakly mixing quasi-factor.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 1 , March 1982 , pp. 1 - 13
Copyright
Copyright © Cambridge University Press 1982

References

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