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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the ergodicity of a class of real skew product extensions of approximations


Author: G. R. Goodson
Journal: Proc. Amer. Math. Soc. 86 (1982), 417-422
MSC: Primary 28D99
MathSciNet review: 671207
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Abstract: In this paper conditions are given for real skew product extensions of cyclic $ KS$ approximations to be ergodic. These results are then applied to show that if $ {T_\alpha }$ is an irrational rotation on the unit circle, there exists an uncountable dense collection of measurable sets for which the corresponding skew product extension is ergodic.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0671207-2
PII: S 0002-9939(1982)0671207-2
Article copyright: © Copyright 1982 American Mathematical Society