The Hausdorff metric and measurable selections
We contruct measurable selections for closed set-valued maps into arbitrary complete metric spaces. We do not need to make any separability assumptions. We view the set-valued maps as point-valued maps into the hyperspace and our measurability assumptions are the usual kinds of measurability of point-valued maps in this setting. We also discuss the relationship of these measurability conditions to the ones usually considered in the theory of measurable selections.
scientific article; zbMATH DE number 3939633
scientific article