2017
Том 69
№ 9

All Issues

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

Filipchuk O. I., Maslyuchenko V. K., Mykhailyuk V. V.

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Abstract

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 $C_y (f)$ are residual $G_\delta$-sets in $X$ for each $y \in Y.$

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 11, pp 1803-1812.

Citation Example: Filipchuk O. I., Maslyuchenko V. K., Mykhailyuk V. V. Joint continuity of $K_h C$-functions with values in moore spaces // Ukr. Mat. Zh. - 2008. - 60, № 11. - pp. 1539 – 1547.

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