2019
Том 71
№ 6

All Issues

Joint Continuity and Quasicontinuity of Horizontally Quasicontinuous Mappings

Maslyuchenko V. K., Nesterenko V. V.

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Abstract

We show that if Xis a topological space, Ysatisfies the second axiom of countability, and Zis a metrizable space, then, for every mapping f: X× YZthat is horizontally quasicontinuous and continuous in the second variable, a set of points xXsuch that fis continuous at every point from {x} × Yis residual in X. We also generalize a result of Martin concerning the quasicontinuity of separately quasicontinuous mappings.

English version (Springer): Ukrainian Mathematical Journal 52 (2000), no. 12, pp 1952-1955.

Citation Example: Maslyuchenko V. K., Nesterenko V. V. Joint Continuity and Quasicontinuity of Horizontally Quasicontinuous Mappings // Ukr. Mat. Zh. - 2000. - 52, № 12. - pp. 1711-1714.

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