On the continuation of distinctly continuous functions

Karlova Olena; Mykhaylyuk Volodymyr; Sobchuk Oleksandr Vasyliovych

Karlova Olena ^1,2 , Mykhaylyuk Volodymyr ^1,2 , Sobchuk Oleksandr Vasyliovych ³

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

² Jan Kokhanowski University, Kielce, 25-001, Poland

³ Professional College of Yuriy Fedkovych Chernivtsi National University, Chernivtsi , 58000, Ukraine

Keywords: a separately continuous function, functionally closed subsets, the Euclidian plane

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Abstract

We investigate the extendibillity of a separately continuous function from a subset of a product of topologival spaces. We obtain also several properties of functionally closed subsets of the Euclidian plane equipped with the cross-topology.

References

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ACS Style: Karlova, O.; Mykhaylyuk, V.; Sobchuk, O.V. On the continuation of distinctly continuous functions. Bukovinian Mathematical Journal. 2018, 2
AMA Style: Karlova O, Mykhaylyuk V, Sobchuk OV. On the continuation of distinctly continuous functions. Bukovinian Mathematical Journal. 2018; 2(1).
Chicago/Turabian Style: Olena Karlova, Volodymyr Mykhaylyuk, Oleksandr Vasyliovych Sobchuk. 2018. "On the continuation of distinctly continuous functions". Bukovinian Mathematical Journal. 2 no. 1.

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