Decomposition of semi-continuous functions into the sum of quasi-continuous
functions and the oscillation of almost continuous functions

	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
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
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.
Pages	205-214
Volume	35
Issue	2
Year	2011
Journal	Matematychni Studii
Full text of paper	PDF
Table of content of issue	HTML

Decomposition of semi-continuous functions into the sum of quasi-continuous functions and the oscillation of almost continuous functions (in Ukrainian)