Baire-one mappings contained in a usco map

Ondřej F. K. Kalenda

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Baire-one mappings contained in a usco map

Ondřej F. K. Kalenda

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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 $\mathbb{R}^d$ 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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BibTeX RIS

Ondřej F. K. Kalenda. 2006-04-11. Baire-one mappings contained in a usco map. https://arxiv.org/abs/math/0604238

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