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

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 $C_y (f)$...

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