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

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...

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Bibliographic Details
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
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal