Discontinuity points of separately continuous mappings with at most countable set of values

UDC 517.51 We obtain a general result on the constancy of separately continuous mappings and their analogs, which implies the wellknown Sierpi´nski theorem. By using this result, we study the set of continuity points of separately continuous mappings with at most countably many values including, in...

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Bibliographic Details
Date:2019
Main Authors: Maslyuchenko, V. K., Filipchuk, O. I., Маслюченко, В. К., Філіпчук, О. І.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2019
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1477
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal