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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.

7 votes
4 answers
1k views

Product Measure Only Possible Measure?

Let $X$ be a separable complete metric space and $Z$ be the set of all integers. Let $\nu$ be a Borel probability measure on $X^Z$ invariant under the shift function $S:X^Z \to X^Z$. Is it necessarily …
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