## Ond\v {r}ej F.K. Kalenda

*Baire-one mappings contained in a usco map *

Comment.Math.Univ.Carolin. 48,1 (2007) 135-145. **Abstract:**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.

**Keywords:** Baire-one function, usco map, usco-bounded sequence of continuous functions

**AMS Subject Classification:** 54C60, 54E45, 26A21

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