Bogoliubov-Krylov theorem
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Problem 22.26 from Royden H.L., Fitzpatrick P.M. "Real Analysis" [RoFi23]More problems in Section 22.4 "Measure Preserving Transformations and Ergodicity"
Does the proof of the Bogoliubov-Krilov Theorem also provide a proof in the case is compact Hausdorff but not necessarily metrizable?
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Origin: Stated according to the original source
References
[RoFi23] Royden H.L., Fitzpatrick P.M. Real Analysis. 5th ed., Pearson, 2023.