Geodesic
Some Selection Theorems for Measurable Functions
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 394-399

Voir la notice de l'article provenant de la source Cambridge University Press

Let F: X → Y be a multifunction from X to Y. Then, given measure-theoretic or topological structures on X and Y, it is possible in various ways to define the measurability of F. The selection problem is to determine which structures on X and Y and which definitions of measurability of F ensure that F will have a measurable selector. This problem has been studied recently in papers by Castaing (2) and Kuratowski and Ryll-Nardzewski (6). In the latter paper, the problem is studied for its own interest. The former uses solutions of the problem to obtain general Filippov-type theorems. (See, for example, the corollaries following Theorems 2 and 3 of Castaing's paper.) For other material on Filippov's results see, among others, (3; 4; 5; 7; 9). 
Himmelberg, C. J.; vleck, F. S. Van. Some Selection Theorems for Measurable Functions. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 394-399. doi: 10.4153/CJM-1969-041-7
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