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About pointwise measurable multifunctions. (English) Zbl 1150.26017

Summary: In a previous article, we introduced the notion of pointwise measurable multifunction, based on a topological characterization of pointwise measurable functions. In this paper we present an example of multifunction which is measurable at every point, but it is not measurable. Then we define the concept of pointwise weak measurability for multifunctions and we establish relations with pointwise measurability and continuity of multifunctions.

MSC:

26E25 Set-valued functions
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