Charles Explorer logo
🇬🇧

Baire-one mappings contained in a usco map

Publication at Faculty of Mathematics and Physics |
2007

Abstract

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 R^d is the pointwise limit of a sequence of continuous functions with graphs contained in the graph of a common usco map.