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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (72) -n.3 (73), 2013/

On spaces of densely continuous forms

Authors: D. M. Ipate, R. C. Lupu

Abstract

We study the structure of the domain of the minimal upper semicontinuous extension of the set-valued mapping. It is proved that the set of all compact-valued upper semicontinuous mappings is closed in the space of all set-valued mappings. A similar assertion is true for the space of densely continuous forms.

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