Topology Atlas Document # ppae-18


On Lebesgue Theorem for multivalued functions of two variables

Grazyna Kwiecinska

Proceedings of the Ninth Prague Topological Symposium (2001) pp. 181-189

In the paper we investigate Borel classes of multivalued functions of two variables. In particular we generalize a result of Marczewski and Ryll-Nardzewski concerning of real function whose ones of its sections are right-continuous and other ones are of Borel class \alpha, into the case of multivalued functions.

Mathematics Subject Classification. 54C60 54C08 28B20.
Keywords. multivalued functions, semi-continuity of multivalued functions, Baire classes of multivalued functions.

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Copyright © 2002 Charles University and Topology Atlas. Published April 2002.