On measurable relations

Himmelberg, C. ; Parthasarathy, T. ; van Vleck, F. S. (1982) On measurable relations Fundamenta Mathematicae, 61 . pp. 161-167. ISSN 0016-2736

[img]
Preview
PDF - Publisher Version
1MB

Official URL: http://matwbn.icm.edu.pl/ksiazki/fm/fm111/fm111117...

Abstract

The results in this paper supplement those in "Measurable relations" by C. J. Him-melberg [H]. Some results of that paper are extended and examples are given showing the sharpness of earlier results. In particular, examples are given showing (i) that the intersection of two weakly measurable, closed-valued relations may fail to be weakly measurable, and (ii) that Filippov's implicit function theorem may fail without appropriate restrictions either on the domain of the relation or on its values.

Item Type:Article
Source:Copyright of this article belongs to Institute of Mathematics of the Polish Academy of Sciences.
ID Code:90958
Deposited On:17 May 2012 09:41
Last Modified:19 May 2016 04:58

Repository Staff Only: item control page