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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Selection theorems for $ G\sb{\delta }$-valued multifunctions


Author: S. M. Srivastava
Journal: Trans. Amer. Math. Soc. 254 (1979), 283-293
MSC: Primary 54C65
MathSciNet review: 539919
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Abstract: In this paper we establish under suitable conditions the existence of measurable selectors for $ {G_\delta }$-valued multifunctions. In particular we prove that a measurable partition of a Polish space into $ {G_\delta }$ sets admits a Borel selector.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1979-0539919-3
PII: S 0002-9947(1979)0539919-3
Keywords: Multifunctions, partitions, selectors
Article copyright: © Copyright 1979 American Mathematical Society