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Maximally highly proximal generators of minimal flows

Published online by Cambridge University Press:  19 September 2008

Joseph Auslander  and
Jaap van der Woude
Joseph Auslander
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742, USA; and Stichting Mathematisch Centrum, Amsterdam, The Netherlands
Jaap van der Woude
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742, USA; and Stichting Mathematisch Centrum, Amsterdam, The Netherlands
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Abstract

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We study minimal flows and their extensions by means of the associated maximally highly proximal flows. These, in turn, can be represented by highly proximal generators, which are certain subsets of the universal minimal flow. From this point of view we obtain information on relative disjointness, coalescence, the Bronstein property, and RIC extensions.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 1 , Issue 4 , December 1981 , pp. 389 - 412
Copyright
Copyright © Cambridge University Press 1981

References

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