Points of joint continuity and large oscillations

• Datum: 2010
• Hauptverfasser: Maslyuchenko, V. K., Nesterenko, V. V., Маслюченко, В. К., Нестеренко, В. В.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2010
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2910
• Назва журналу: 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-...