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

Journal: Matematychni Studii (Vol.35, No. 2)

Publication Date:

Authors : ;

Page : 205-214

Keywords : semi-continuous function; almost continuous function;

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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.

Last modified: 2014-01-13 19:58:18