We determine the Borel class of the image of a Polish space under a Borel measurable function of classɦwhich maps open sets in the Polish space to Borel sets of additive class£ 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

Levi, S., Maitra, A. (1984). Borel measurable images of Polish spaces. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 92(1), 98-102 [10.1090/S0002-9939-1984-0749900-4].

Borel measurable images of Polish spaces

LEVI, SANDRO;
1984

Abstract

We determine the Borel class of the image of a Polish space under a Borel measurable function of classɦwhich maps open sets in the Polish space to Borel sets of additive class£ 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
Articolo in rivista - Articolo scientifico
Borel class; image of Polish space; Borel measurable function
English
1984
92
1
98
102
none
Levi, S., Maitra, A. (1984). Borel measurable images of Polish spaces. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 92(1), 98-102 [10.1090/S0002-9939-1984-0749900-4].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/18608
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