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

• Datum: 2004
• Hauptverfasser: Banakh, T. O., Vovk, M. I., Банах, Т. О., Вовк, М. І.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2004
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3778
• Назва журналу: 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 $M ⊂ X × Y$.