2017
Том 69
№ 7

All Issues

Separately $Fσ$-measurable functions are close to functions of the first baire class

Banakh T. O., Vovk M. I.

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Abstract

We prove that a Borel separately $Fσ$-measurable function $f: X \times Y → R$ on the product of Polish spaces is a function of the first Baire class on the complement $X × Y \backslash M$ of a certain projectively meager set $M ⊂ X × Y$.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 4, pp 628-640.

Citation Example: Banakh T. O., Vovk M. I. Separately $Fσ$-measurable functions are close to functions of the first baire class // Ukr. Mat. Zh. - 2004. - 56, № 4. - pp. 573–576.

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