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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Borel measurable images of Polish spaces


Authors: Sandro Levi and Ashok Maitra
Journal: Proc. Amer. Math. Soc. 92 (1984), 98-102
MSC: Primary 54H05; Secondary 28A20, 54C65
MathSciNet review: 749900
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Abstract: We determine the Borel class of the image of a Polish space under a Borel measurable function of class $ \eta $ which maps open sets in the Polish space to Borel sets of additive class $ \xi $ in the range, under a mild restriction on the inverse images of singleton sets. Our computation is based on a selection theorem proved in this article.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0749900-4
Keywords: Polish space, Borel class of sets and functions, selectors
Article copyright: © Copyright 1984 American Mathematical Society