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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
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measure with given push-forwards
Let $X,Y$ be locally compact spaces (in my specific case, they are locally compact groups). Suppose that we are given a measure $\mu$ on $X$ and a finite number of quotient maps $p_1,\ldots,p_n:Y\righ …