Abstract
We construct 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 arethe usual kinds of measurability of point-valued maps in this setting. We also discuss relationship of these measurability conditions to the ones usually considered in the theory of measurable selections.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 121-133 |
| Number of pages | 13 |
| Journal | Topology and its Applications |
| Volume | 20 |
| Issue number | 2 |
| DOIs | |
| State | Published - Aug 1985 |
Bibliographical note
Funding Information:from the National Science Foundation and from the while he served as Stouffer Professor of Mathematics.