Joint Continuity and Quasicontinuity of Horizontally Quasicontinuous Mappings

• Date: 2000
• 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 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4575
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We show that if Xis a topological space, Ysatisfies the second axiom of countability, and Zis a metrizable space, then, for every mapping f: X× Y→ Zthat is horizontally quasicontinuous and continuous in the second variable, a set of points x∈ Xsuch that fis continuous at every point from {x} × Yis r...