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1.—On Measurable Selections
Published online by Cambridge University Press: 14 February 2012
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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