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May 14, 2012 at 8:16 comment added user23644 @Vaughn Thank you! It is indeed the same construction, just interpreted directly as measures rather then functionals. The point that confused me was exactly the equality of $\nu_n$ and $\mu$ on every cylinder, but with this interpretation it is much easier to check.
May 14, 2012 at 8:10 vote accept user23644
May 13, 2012 at 4:54 history answered Vaughn Climenhaga CC BY-SA 3.0