We introduce the notion of categorical cliquish mapping and show that, for each K h C-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 f y , the sets C y (f) are residual G δ-type sets in X for every y ∈ Y.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 11, pp. 1539–1547, November, 2008.
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Maslyuchenko, V.K., Mykhailyuk, V.V. & Filipchuk, O.I. Joint continuity of K h C-functions with values in moore spaces. Ukr Math J 60, 1803–1812 (2008). https://doi.org/10.1007/s11253-009-0170-8
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DOI: https://doi.org/10.1007/s11253-009-0170-8