Added the Bochner integral.
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@@ -71,7 +71,7 @@
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\begin{proposition}
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\label{proposition:measurable-simple-separable}
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Let $(X, \cm)$ be a measurable space, $Y$ be a separable metric space, and $N: Y \to 2^Y$\footnote{This mapping is typically obtained as slices of the level sets of a continuous function $Y \times Y \to \real$.} such that
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Let $(X, \cm)$ be a measurable space, $Y$ be a separable metric space, and $N: Y \to 2^Y$ such that
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\begin{enumerate}
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\item[(a)] For each $y \in Y$, $y \in \ol{N(y)^o}$.
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\item[(b)] $\bigcap_{y \in Y}N(y) \ne \emptyset$.
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