### On superpositionally measurable multifunctions

Andrzej Spakowski (1989)

Acta Universitatis Carolinae. Mathematica et Physica

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Andrzej Spakowski (1989)

Acta Universitatis Carolinae. Mathematica et Physica

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Wojciech Zygmunt (1992)

Commentationes Mathematicae Universitatis Carolinae

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For multifunctions $F:T\times X\to {2}^{Y}$, measurable in the first variable and semicontinuous in the second one, a relation is established between being product measurable and being superpositionally measurable.

Diego Averna, Salvatore A. Marano (1999)

Rendiconti del Seminario Matematico della Università di Padova

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Anna Kucia, Andrzej Nowak (1994)

Acta Universitatis Carolinae. Mathematica et Physica

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Beata Kubiś (2001)

Mathematica Bohemica

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We investigate the problem of approximation of measurable multifunctions by monotone sequences of measurable simple ones. Our main tool is the Marczewski function, i.e., the characteristic function of a sequence of sets.

Gabriele Bonanno (1989)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We point out two theorems on the Scorza Dragoni property for multifunctions. As an application, in particular, we improve a Carathéodory selection theorem by A. Cellina [4], by removing a compactness assumption.