Ellis groups of quasi-factors of minimal flows

Joseph Auslander

Colloquium Mathematicae (2000)

  • Volume: 84/85, Issue: 2, page 319-326
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Auslander, Joseph. "Ellis groups of quasi-factors of minimal flows." Colloquium Mathematicae 84/85.2 (2000): 319-326. <http://eudml.org/doc/210816>.

@article{Auslander2000,
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.},
author = {Auslander, Joseph},
journal = {Colloquium Mathematicae},
keywords = {minimal flow; quasi-factor; maximal high proximality; Ellis group},
language = {eng},
number = {2},
pages = {319-326},
title = {Ellis groups of quasi-factors of minimal flows},
url = {http://eudml.org/doc/210816},
volume = {84/85},
year = {2000},
}

TY - JOUR
AU - Auslander, Joseph
TI - Ellis groups of quasi-factors of minimal flows
JO - Colloquium Mathematicae
PY - 2000
VL - 84/85
IS - 2
SP - 319
EP - 326
AB - 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.
LA - eng
KW - minimal flow; quasi-factor; maximal high proximality; Ellis group
UR - http://eudml.org/doc/210816
ER -

References

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  1. [A] J. Auslander, Minimal Flows and their Extensions, North-Holland Math. Stud. 153, North-Holland, 1988. Zbl0654.54027
  2. [AG] J. Auslander and S. Glasner, Distal and highly proximal extensions of minimal flows, Indiana Univ. Math. J. 26 (1977), 731-749. Zbl0383.54026
  3. [AW] J. Auslander and J. van der Woude, Maximal highly proximal generators of minimal flows, Ergodic Theory Dynam. Systems 1 (1981), 389-412. Zbl0489.54039
  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. Zbl0298.54023

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