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On one characterization of aggregate quasicontinuity
Nesterenko Vasyl Volodymyrovych 1
1 Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: quasicontinuity
Abstract

Let $X$ be a Baire space, $Y$ be a second countable space and $Z$ be a metrizable separable space. We obtain that a function $f: X × Y → Z$ is joint quasi-continuous if and only if it is horizontally quasi-continuous and quasi-continuous with respect to the second variable when the first variable runs over some residual set.

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Cite
ACS Style
Nesterenko, V.V. On one characterization of aggregate quasicontinuity. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Nesterenko VV. On one characterization of aggregate quasicontinuity. Bukovinian Mathematical Journal. 2018; 1(336).
Chicago/Turabian Style
Vasyl Volodymyrovych Nesterenko. 2018. "On one characterization of aggregate quasicontinuity". Bukovinian Mathematical Journal. 1 no. 336.
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