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

G. R. Goodson
1982 Proceedings of the American Mathematical Society  
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 Ta 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.
doi:10.1090/s0002-9939-1982-0671207-2 fatcat:bm7fdx5c4fajff7kdg5y6o7f6i