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Results tagged with measure-theory
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user 125014
Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
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decomposing a measure into relative atom and atomless parts
Let $(X,\mathcal{X},\mu)$ be a standard probability space. A measure $\mu$ is atomic if $\mu$ is supported on at most countable many atoms, and is atomless if $\mu$ has no atom (a point x is an atom i …
