On measurable multifunctions in countably separated spaces
Copyright policy )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.
- Institute of Mathematics Poland
- Pedagogical University Mozambique
- Polish Academy of Sciences Poland
intersection, Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.), implicit function theorem, Set-valued set functions and measures; integration of set-valued functions; measurable selections, measurable multifunctions, countably separated space, Set-valued maps in general topology
intersection, Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.), implicit function theorem, Set-valued set functions and measures; integration of set-valued functions; measurable selections, measurable multifunctions, countably separated space, Set-valued maps in general topology
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