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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.

References [Enhancements On Off] (What's this?)

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Keywords: Polish space, Borel class of sets and functions, selectors
Article copyright: © Copyright 1984 American Mathematical Society

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