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Lusin type theorems for multifunctions, Scorza Dragoni’s property and Carathéodory selections. (English) Zbl 0817.28007
The author proves Scorza Dragoni type theorems for multifunctions in a non-metric framework. Following Z. Artstein and K. Prikry [J. Math. Anal. Appl. 127, 540-547 (1987; Zbl 0649.28011)], he gives an existence theorem for Carathéodory selections as an application of the previous results.
Reviewer’s remark: A paper by C. Castaing [Trav. Sémin. d’Anal. convexe, Vol. 6, Montpellier 1976, Expo. No. 6, 6p. (1976; Zbl 0356.46045)] was published prior to that by Artstein and Prikry.
Reviewer: H.-A.Klei (Paris)

MSC:
28B20 Set-valued set functions and measures; integration of set-valued functions; measurable selections
54C65 Selections in general topology
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