Joint continuity of $K_h C$-functions with values in moore spaces

• Date: 2008
• Main Authors: Maslyuchenko, V. K., Mykhailyuk, V. V., Filipchuk, O. I., Маслюченко, В. К., Михайлюк, В. В., Філіпчук, О. І.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3267
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce a notion of a categorical cliquish mapping and prove that, for each $K_h C$-mapping $f : X \times Y \rightarrow Z$ (here, $X$ is a topological space, $Y$ is a first countable space, and $Z$ is a Moore space) with categorical cliquish horizontal $y$-sections $f_y$ , the sets $C_y (f)$...