On measurable multifunctions in countably separated spaces
Let \(F_ n: X\to Y\) be a sequence of measurable multifunctions. There are investigated conditions under which the intersection of this sequence is also measurable. Adequate separation conditions imposed on \(Y\) are introduced, so the results are more flexible than the corresponding theorems of Himmelberg and Hess. An implicit function theorem is also proved in this more general setting.
scientific article; zbMATH DE number 490564
scientific article