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Questions asking for recommendations of textbooks on some subject. It can be helpful to indicate whether the request is for self-study, for use in a course one teaches, for use accompanying a course one takes etc., and to give some additional details on the context. Typically, additional tags are used to indicate the subject. For other questions on books, please use the tag books. Also, see reference-request for a related tag.
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Book recommendation for ergodic theory and/or topological dynamics?
Let me suggest you a recent book by Steve Kalikow and Randall McCutcheon:
"An Outline of Ergodic Theory". This is a nice book to get a solid background in isomorphism theory of measurable dynamical sy …