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Normal integrands and related classes of functions. (English) Zbl 0883.54022
Summary: Let \(D\subset T\times X\), where \(T\) is a measurable space, and \(X\) a topological space. We study inclusions between three classes of extended real-valued functions on \(D\) which are upper semicontinuous in \(x\) and satisfy some measurability conditions.

MSC:
54C30 Real-valued functions in general topology
28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
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