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Minimal flows with a closed proximal cell

Published online by Cambridge University Press:  04 June 2001

JOSEPH AUSLANDER
JOSEPH AUSLANDER
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742, USA (e-mail: jna@math.umd.edu)
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Abstract

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It is shown that regional proximality is an equivalence relation in a minimal flow which contains a closed proximal cell. Also, a certain group theoretic condition is shown to be equivalent to a ‘local Bronstein’ condition.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 21 , Issue 3 , June 2001, pp. 641 - 645
Copyright
2001 Cambridge University Press