On Lebesgue theorem for multivalued functions of two variables (Q2782219)
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scientific article; zbMATH DE number 1727760
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Lebesgue theorem for multivalued functions of two variables |
scientific article; zbMATH DE number 1727760 |
Statements
1 May 2002
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multivalued functions
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semi-continuity of multivalued functions
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Baire classes of multivalued functions
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Borel measurable multifunctions
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lower Borel class
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On Lebesgue theorem for multivalued functions of two variables (English)
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The conditions under which a multifunction \(F: X\times Y\to Z\), whose \(X\)-sections are of upper class \(\alpha\) and \(Y\)-sections are right-continuous, belongs to the lower Borel class \(\alpha+1\) are presented in some abstract setting.NEWLINENEWLINENEWLINEResults comes from [\textit{G. Kwiecińska} and \textit{W. Ślȩzak}, Zesz. Nauk. Wydz. Mat. Fiz. Chem., Mat., Gdańsk 7, 63-77 (1988; Zbl 0763.54013)], the bitopological case has been also investigated by \textit{J. Ewert} [Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 27, 59-65 (1987; Zbl 0654.54013)].NEWLINENEWLINEFor the entire collection see [Zbl 0983.00046].
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