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ArticleOriginal scientific text

Title

Ellis groups of quasi-factors of minimal flows

Authors 1

Affiliations

  1. University of Maryland, College Park, MD 20742-4015, U.S.A.

Abstract

A quasi-factor of a minimal flow is a minimal subset of the induced flow on the space of closed subsets. We study a particular kind of quasi-factor (a 'joining' quasi-factor) using the Galois theory of minimal flows. We also investigate the relation between factors and quasi-factors.

Bibliography

  1. [A] J. Auslander, Minimal Flows and their Extensions, North-Holland Math. Stud. 153, North-Holland, 1988.
  2. [AG] J. Auslander and S. Glasner, Distal and highly proximal extensions of minimal flows, Indiana Univ. Math. J. 26 (1977), 731-749.
  3. [AW] J. Auslander and J. van der Woude, Maximal highly proximal generators of minimal flows, Ergodic Theory Dynam. Systems 1 (1981), 389-412.
  4. [E] R. Ellis, Lectures in Topological Dynamics, W. A. Benjamin, 1969.
  5. [G] S. Glasner, Compressibility properties in topological dynamics, Amer. J. Math. 97 (1975), 148-171.
Colloquium Mathematicum
2000/84/85/2
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Pages:
319-326
Main language of publication
English
Received
1999-08-03
Accepted
2000-01-04
Published
2000
Exact and natural sciences