# Ellis groups of quasi-factors of minimal flows

Colloquium Mathematicae (2000)

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

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topAuslander, 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

top- [A] J. Auslander, Minimal Flows and their Extensions, North-Holland Math. Stud. 153, North-Holland, 1988. Zbl0654.54027
- [AG] J. Auslander and S. Glasner, Distal and highly proximal extensions of minimal flows, Indiana Univ. Math. J. 26 (1977), 731-749. Zbl0383.54026
- [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
- [E] R. Ellis, Lectures in Topological Dynamics, W. A. Benjamin, 1969.
- [G] S. Glasner, Compressibility properties in topological dynamics, Amer. J. Math. 97 (1975), 148-171. Zbl0298.54023

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