Pointwise discontinuity of $K_hK$-functions with values ​​in $σ$-metrizable spaces

Maslyuchenko Volodymyr Kyrylovych; Filipchuk Olga Igorivna

Pointwise discontinuity of $K_hK$-functions with values in $σ$-metrizable spaces

Maslyuchenko Volodymyr Kyrylovych ¹ , Filipchuk Olga Igorivna ²

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

² Department of Mathematical Problems of Management and Cybernetics, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine

Keywords: pointwise discontinuity, $σ$-metrizable spaces

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Abstract

The theorems on pointwise discontinuity of $K_hK$ -mappings with values in $σ$-metrizable spaces are proved.

References

[1] Maslyuchenko V.K., Mykhailiuk V.V., Shyshina O.I. Horizontally quasi-continuous mappings with values in $σ$-metrizable spaces // Mat. Methods and Phys.-Mechanical Fields. - 2002. - 45, No. 1. - P.42-46.

[2] Maslyuchenko V.K. Differently continuous functions of many variables with values in $σ$-metrizable spaces / / Nonlinear oscillations. - 1999.- 2, No. 3. - P.337-344.

[3] Maslyuchenko V.K., Mykhailiuk V.V., Shyshina O.I. Horizontally quasi-continuous mappings with values in $σ$-metrizable spaces // Differential equations and nonlinear oscillations. Abstracts of the supplementary. International Conference August 27-29, 2001 - Kyiv, 2001. - P.105-106.

[4] Maslyuchenko V.K., Nesterenko V.V. Cumulative continuity and quasi-continuity of horizontally quasi-continuous mappings / / Ukr. mat. zhurn. - 2000. - 52, N 12. - P.1711-1714.

[5] Martin N.F.G. Quasi-continuous functions on product spaces // Duke Math. J. - 1961. - 28 . - P.30-44.

[6] Maslyuchenko V.K. Distinctly continuous mappings and Käthe spaces: Diss. ... doctor of physical and mathematical sciences - Chernivtsi, 1999 - 345 p.

[7] Maslyuchenko V.K., Mykhailiuk V.V., Nesterenko V.V. Point discontinuity of functions of many variables / / Nauk. visn. Chernivtsi. un-tu. Mathematics. - Chernivtsi: Ruta, 2001.- P.70-75.

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Cite

ACS Style: Maslyuchenko, V.K.; Filipchuk, O.I. Pointwise discontinuity of $K_hK$-functions with values in $σ$-metrizable spaces. Bukovinian Mathematical Journal. 2018, 1
AMA Style: Maslyuchenko VK, Filipchuk OI. Pointwise discontinuity of $K_hK$-functions with values in $σ$-metrizable spaces. Bukovinian Mathematical Journal. 2018; 1(191).
Chicago/Turabian Style: Volodymyr Kyrylovych Maslyuchenko, Olga Igorivna Filipchuk. 2018. "Pointwise discontinuity of $K_hK$-functions with values in $σ$-metrizable spaces". Bukovinian Mathematical Journal. 1 no. 191.

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