On measurable multifunctions in countably separated spaces
type: Item
instance of: scholarly article
title: On measurable multifunctions in countably separated spaces
zbMATH Open document ID: 0793.28011
DOI: 10.1007/BF02845112
author: Andrzej Spakowski
author: Piotr Urbaniec
publication date: 1994-08-08T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 28B20
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 54D15
zbMATH DE Number: 490564
zbMATH Keywords: countably separated space
zbMATH Keywords: measurable multifunctions
zbMATH Keywords: intersection
zbMATH Keywords: implicit function theorem
reviewed by: Włodzimierz Ślęzak
MaRDI profile type: Publication
cites work: Separation properties in X and \(2^ X\). Upper semicontinuous and measurable multifunctions
cites work: Properties of countable separation and implicit function theorem
cites work: Q3027288
cites work: Measurable relations
cites work: Implicit function theorem in topological spaces
published in: Rendiconti del Circolo Matematico di Palermo
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description: scientific article; zbMATH DE number 490564