Points of joint continuity and large oscillations

• Date: 2010
• Main Authors: Maslyuchenko, V. K., Nesterenko, V. V., Маслюченко, В. К., Нестеренко, В. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2910
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For topological spaces $X$ and $Y$ and a metric space $Z$, we introduce a new class $N(X × Y,Z)$ of mappings $f:\; X × Y → Z$ containing all horizontally quasicontinuous mappings continuous with respect to the second variable. It is shown that, for each mapping $f$ from this class and any countable-...