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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Induced automorphisms and simple approximations


Author: Geoffrey R. Goodson
Journal: Proc. Amer. Math. Soc. 54 (1976), 141-145
DOI: https://doi.org/10.1090/S0002-9939-1976-0390171-4
MathSciNet review: 0390171
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Abstract: A class of ergodic, measure preserving invertible point transformations, which are said to admit simple approximations is defined below. If $ T$ is an automorphism which admits a simple approximation, conditions are given on a set $ A$ so that the induced automorphisms $ {T^A}$ and $ {T_A}$ again admit simple approximations.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0390171-4
Article copyright: © Copyright 1976 American Mathematical Society