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1.—On Measurable Selections

Published online by Cambridge University Press:  14 February 2012

A. P. Robertson
A. P. Robertson
Affiliation:
Department of Mathematics, University of Keele
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Synopsis

Measurable selection theorems are proved, for a compact-valued measurable multifunction into a Hausdorff space that is the continuous image of a separable metric space, and for a closed-valued measurable multifunction from a suitable measure space to a regular Souslin space. The connection between Polish spaces and certain subsets of the real line is related to a measurable selection theorem for multifunctions into a Polish space.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 72 , Issue 1 , 1974 , pp. 1 - 7
Copyright
Copyright © Royal Society of Edinburgh 1974

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