Separately continuous intermediate functions and cross-topology

Maslyuchenko Volodymyr Kyrylovych; Melnyk Vasyl

doi:https://doi.org/10.31861/bmj2018.03.103

Maslyuchenko Volodymyr Kyrylovych ¹ , Melnyk Vasyl ²

¹ Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine

² Department of Mathematical Modeling, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine

DOI: https://doi.org/10.31861/bmj2018.03.103

Keywords: separately continuous functions, approcsimation, Hahn theorem, plus-topology

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Abstract

We introduce the notion of separate Hahn’s pair $(g,h)$ on the product $X×Y$ of topological spacesand find the conditions of existance of intermediate separately continuous function $f:X×Y→\mathbb{R}$ for each of these pairs.

References

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ACS Style: Maslyuchenko, V.K.; Melnyk, V. Separately continuous intermediate functions and cross-topology. Bukovinian Mathematical Journal. 2019, 6 https://doi.org/https://doi.org/10.31861/bmj2018.03.103
AMA Style: Maslyuchenko VK, Melnyk V. Separately continuous intermediate functions and cross-topology. Bukovinian Mathematical Journal. 2019; 6(3-4). https://doi.org/https://doi.org/10.31861/bmj2018.03.103
Chicago/Turabian Style: Volodymyr Kyrylovych Maslyuchenko, Vasyl Melnyk. 2019. "Separately continuous intermediate functions and cross-topology". Bukovinian Mathematical Journal. 6 no. 3-4. https://doi.org/https://doi.org/10.31861/bmj2018.03.103

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