Ellis groups of quasi-factors of minimal flows

• Autorzy: Joseph Auslander
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 84/85
• Numer: 2
• Strony: 319-326

Daty

wydano

2000

otrzymano

1999-08-03

poprawiono

2000-01-04

Twórcy

autor

Joseph Auslander

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

Bibliografia

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