Joint continuity of KhC-functions with values in moore spaces

被引:0
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作者
V. K. Maslyuchenko
V. V. Mykhailyuk
O. I. Filipchuk
机构
[1] Fed’kovych Chernivtsi National University,
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Topological Space; Open Cover; Metrizable Space; Regular Space; Countable Base;
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摘要
We introduce the notion of categorical cliquish mapping and show that, for each KhC-mapping f: X × Y → Z, where X is a topological space, Y is a space with the first axiom of countability, and Z is a Moore space, with categorical-cliquish horizontal y-sections fy, the sets Cy (f) are residual Gδ-type sets in X for every y ∈ Y.
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页码:1803 / 1812
页数:9
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