The complexity of the collection of measure-distal transformations

Ergodic Theory and Dynamical Systems

Volumn 16, Issue 5, 1996, Pages 929-962

  Beleznay, Ferenc ^a   Foreman, Matthew ^b  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030510675     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385700010129     Document Type: Article

References (11)

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3. H. Furstenberg. Recurrence in Ergodic Theory and Combinatorial Number Theory. Princeton University Press, Princeton, NJ, 1981.
4. P. Halmos. Approximation theories for measure preserving transformations. Trans. Am. Math. Soc. 55 (1944), 1-18.
5. P. Halmos. In general a measure preserving transformation is mixing. Ann. of Math. 2(45) (1944), 786-792.
6. P. Halmos. Lectures on Ergodic Theory. Chelsea, New York, 1956.
7. A. Kechris. Classical Descriptive Set Theory (Graduate texts in Mathematics). Springer, 1994.
8. Y. Moschovakis. Descriptive Set Theory (Studies in Logic and the Foundation of Mathematics vol. 100). North-Holland, New York, 1980.
9. W. Parry. Zero entropy of distal and related transformations. Typological Dynamics. Eds J. Auslander and W. Gottschalk. Benjamin, New York, 1968.
10. V. Rokhlin. A general measure-preserving transformation is not mixing. Doklady Akad. Nauk SSSR, (NS) 60 (1948), 349-351.
11. R. J. Zimmer. Ergodic actions with generalized discrete spectrum. Illinois J. Math. 20 (1976), 555-588.