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