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.
@article{bwmeta1.element.bwnjournal-article-cmv84i2p319bwm, author = {Joseph Auslander}, title = {Ellis groups of quasi-factors of minimal flows}, journal = {Colloquium Mathematicae}, volume = {84/85}, year = {2000}, pages = {319-326}, zbl = {0976.54040}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv84i2p319bwm} }
Auslander, Joseph. Ellis groups of quasi-factors of minimal flows. Colloquium Mathematicae, Tome 84/85 (2000) pp. 319-326. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv84i2p319bwm/
[000] [A] J. Auslander, Minimal Flows and their Extensions, North-Holland Math. Stud. 153, North-Holland, 1988. | Zbl 0654.54027
[001] [AG] J. Auslander and S. Glasner, Distal and highly proximal extensions of minimal flows, Indiana Univ. Math. J. 26 (1977), 731-749. | Zbl 0383.54026
[002] [AW] J. Auslander and J. van der Woude, Maximal highly proximal generators of minimal flows, Ergodic Theory Dynam. Systems 1 (1981), 389-412. | Zbl 0489.54039
[003] [E] R. Ellis, Lectures in Topological Dynamics, W. A. Benjamin, 1969.
[004] [G] S. Glasner, Compressibility properties in topological dynamics, Amer. J. Math. 97 (1975), 148-171. | Zbl 0298.54023