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On induced transformations of Bernoulli shifts

✍ Scribed by Alan Saleski


Publisher
Springer
Year
1973
Tongue
English
Weight
709 KB
Volume
7
Category
Article
ISSN
1433-0490

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The purpose of this paper is to prove the following result. THEOREM 1. If u' is a Bernoulli shift with Jinite entropy on a probability space (Y', 9', v'), and E > 0 then there exists a probability space (X, F, CL) containing (Y', 9, v') (in the sense that Y' E 9, 9' = S Iy, = {FE 9 : F C Y'}, V' = ,