Abstract
In 2000 J.Borsík, J. Doboš, and M. Repický characterized sums of quasi-continuous functions with closed graphs. More precisely, they showed that such a sum must be Baire one star, and proved that each Baire one star function defined on a separable metric space which is Baire in the strong sense is the sum of three quasi-continuous functions with closed graphs. They showed also that not every Baire one star function defined on $\mathbb{R}$ is the sum of two quasi-continuous functions with closed graphs, and asked for characterization of such sums. The goal of this article is to present the required characterization.
Citation
Tadeusz Poreda. Wiesława Poreda. "On the Sums of Two Quasi-Continuous Functions with Closed Graphs." Real Anal. Exchange 35 (2) 413 - 422, 2009/2010.
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