Geodesic
Baire-one mappings contained in a usco map
Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 1, pp. 135-145

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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.
Classification : 26A21, 54C60, 54E45
Keywords: Baire-one function; usco map; usco-bounded sequence of continuous functions 
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     title = {Baire-one mappings contained in a usco map},
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Kalenda, Ondřej F. K. Baire-one mappings contained in a usco map. Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 1, pp. 135-145. http://geodesic.mathdoc.fr/item/CMUC_2007__48_1_a10/