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

• Date: 2004
• Main Authors: Banakh, T. O., Vovk, M. I., Банах, Т. О., Вовк, М. І.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3778
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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 $M ⊂ X × Y$.