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Does anybody know the reference to a proof of the following fact (which is not hard to prove, but seems to be well-known, see here): The space of shift-invariant measures under Ornstein's d-bar metric is complete.

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    $\begingroup$ I just checked: it's not in Rudolph's book. $\endgroup$
    – Anthony Quas
    Commented Jan 24, 2017 at 7:59
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    $\begingroup$ It seems that you cannot find it in Shields nor in Glasner. $\endgroup$
    – Dominik Kwietniak
    Commented Jan 24, 2017 at 10:07

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