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Decomposition of semi-continuous functions into the sum of quasi-continuous
functions and the oscillation of almost continuous functions (in Ukrainian) |
| Author |
O. V. Maslyuchenko
ovmasl@gmail.com
Чернiвецького нацiонального унiверситету iменi Юрiя Федьковича
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| Abstract |
We prove that every semi-continuous function on a metrizable space is decompose into sum
of two quasi-continuous functions. And then we obtain a new characterization of the oscillation
of almost continuous functions. |
| Keywords |
semi-continuous function; almost continuous function |
| DOI |
doi:10.30970/ms.35.2.205-214
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| Reference |
1. Маслюченко О.В. Коливання майже неперервних функцiй// Науковий вiсник Чернiвецького унi-
верситету. Математика. – 2010. – V.528. – С. 104–110.
2. Энгелькинг Р. Общая топология. – Москва: Мир, 1986. – 752с.
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| Pages |
205-214 |
| Volume |
35 |
| Issue |
2 |
| Year |
2011 |
Journal |
Matematychni Studii |
| Full text of paper |
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