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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
##### Keywords:
normal integrand; Carathéodory function
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