Baire-one mappings contained in a usco map

Mathematics – General Topology

Scientific paper

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Scientific paper

We investigate Baire-one functions whose graph is contained in a graph of
usco mapping. We prove in particular that such a function defined on a metric
space with values in $\mathbb{R}^d$ is the pointwise limit of a sequence of
continuous functions with graphs contained in the graph of a common usco map.

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