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Omega-Polish spaces and measurable selections

Published online by Cambridge University Press:  09 April 2009

Le Van Tu
Le Van Tu
Affiliation:
Murdoch University, Murdoch, 6153, Western Australia.
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Abstract

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In this paper, the author introduces the notion of Ω-Polish spaces (which includes the Polish spaces and a large class of Banach spaces) and extends Castaing's selection theorem (1966) for closed-valued measurable thin multifunctions from a measurable space into an Ω-Polish space. He also extends Robertson's theorem (1974) in the same way.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 23 , Issue 3 , May 1977 , pp. 257 - 265
Copyright
Copyright © Australian Mathematical Society 1977

References

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