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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)

Keywords: 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.

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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.

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