Timeline for Are there well-established notions of convergence of measures that take into account differentiable structure?

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Dec 19, 2019 at 22:43	comment	added	Julian Newman		Thank you for this. Yes, I see how this reasoning might indicate that trying to do something like a differentiable analogue of the topological notion of weak convergence of probability measures won't work (i.e. it will just end up the same as weak convergence of probability measures). But is there good reason to expect that in general, every reasonable notion of convergence of probability measures fits more-or-less into the kind of framework you've described?
Dec 17, 2019 at 18:25	history	answered	Iosif Pinelis	CC BY-SA 4.0