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New generalizations of Sierpinski theorem
2017
Matematychni Studii
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Математичнi Студiї. Т.47, №1 Matematychni Studii. V.47, No.1 УДК 517.51 В. К. Маслюченко, О. I. Фiлiпчук НОВI УЗАГАЛЬНЕННЯ ТЕОРЕМИ СЕРПIНСЬКОГО V. K. Maslyuchenko, O. I. Filipchuk. New generalizations of Sierpiński theorem, Mat. Stud. 47 (2017), 91-99. We introduce the notion of equi-feeblycontinuity which ressembles S. Kempisty's equiquasicontinuity. Using this fresh notion and weak horizontal quasicontinuity, we obtain new generalizations of Sierpinski theorem on separately continuous functions.
doi:10.15330/ms.47.1.91-99
fatcat:ir3hrhr5mnhdhlmqnhkb2bh2g4