We prove that a Borel separately F σ-measurable function f: X×Y→R on the product of Polish spaces is a function of the first Baire class on the complement X×Y\M of a certain projectively meager set M⊂X×Y.
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V. K. Maslyuchenko, “Connections between separate and joint properties of functions of several variables,” in: Proceedings of the Interntiational Conference on Functional Analysis and Its Applications, Lviv (2002), p. 135.
V. V. Mikhailyuk O. V. Sobchuk (2000) ArticleTitleFunctions with diagonal of finite Baire class Mat. Studii 14 IssueID1 23–28
A. Kechris (1995) Classical Descriptive Set Theory Springer Berlin
K. Kuratowski (1966) Topology Mir Moscow
I. Namioka (1974) ArticleTitleSeparate continuity and joint continuity Pacif. J. Math. 51 515–531
S. Todorcevic (1997) Topics in Topology Springer Berlin
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 4, pp. 573–576, April, 2004.
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Banakh, T.O., Vovk, M.I. Separately Fσ-measurable functions are close to functions of the first baire class. Ukr Math J 56, 695–698 (2004). https://doi.org/10.1007/s11253-005-0012-2
- Polish Space
- Baire Class