On minimal actions of Polish groups

Topology and its Applications

Volumn 85, Issue 1-3, 1998, Pages 119-125

  Glasner, Eli ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

Fixed point property; Minimal actions; Stone ech compactification

Indexed keywords

EID: 0000647395     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(97)00143-0     Document Type: Article

References (17)

1. M. Ajtai, I. Havas and J. Komlós, Every group admits a bad topology, in: P. Erdo″s, ed., Studies in Pure Mathematics (Birkhäuser, Basel, 1983).
2. J. Auslander, Minimal Flows and their Extensions (North-Holland, Amsterdam, 1988).
3. R. Ellis, A semigroup associated with a transformation group, Trans. Amer. Math. Soc. 94 (1960) 272-281.
4. R. Ellis, Lectures in Topological Dynamics (Benjamin, New York, 1969).
5. H. Furstenberg, Recurrence in Ergodic Theory and Combinatorial Number Theory (Princeton Univ. Press, Princeton, NJ, 1981).
6. S. Glasner, Proximal Flows, Lecture Notes in Math. 517 (Springer, Berlin, 1976).
7. S. Glasner and D. Maon, Rigidity in topological dynamics, Ergodic Theory Dynamical Systems 9 (1989) 309-320.
8. S. Glasner and B. Weiss, On the construction of minimal skew products, Israel J. Math. 34 (1979) 321-336.
9. S. Glasner and B. Weiss, Interpolation sets for subalgebras of l∞ (ℤ), Israel J. Math. 44 (1983) 345-360.
10. M. Gromov and V.D. Milman, A topological application of the isoperimetric inequality, Amer. J. Math. 105 (1983) 843-854.
11. T. Mitchell, Topological semigroups and fixed points, Illinois J. Math. 14 (1970) 630-641.
12. H.L. Montgomery, Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis, CBMS 84 (Amer. Math. Soc.).
13. V.D. Milman and G. Schechtman, Asymptotic Theory of Finite Dimensional Normed Spaces, Lecture Notes in Math. 1200 (Springer, Berlin, 1986).
14. V.G. Pestov, On free actions, minimal flows, and a problem by Ellis, Preprint.
15. W.A. Veech, The equicontinuous structure relation for minimal Abelian transformation groups. Amer. J. Math. 90 (1968) 723-732.
16. J. de Vries, Elements of Topological Dynamics (Kluwer Academic Publishers, Dordrecht. 1993).
17. B. Weiss, Single Orbit Dynamics, to appear.