Lebesgue–Cech Dimensionality and Baire Classification of Vector-Valued Separately Continuous Mappings

• Date: 2003
• Main Authors: Kalancha, A. K., Maslyuchenko, V. K., Каланча, А. К., Маслюченко, В. К.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2003
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4025
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For a metrizable space X with finite Lebesgue–Cech dimensionality, a topological space Y, and a topological vector space Z, we consider mappings f: X × Y → Z continuous in the first variable and belonging to the Baire class α in the second variable for all values of the first variable from a certain...