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arxiv: 1411.3582 · v1 · pith:BWKYIXQAnew · submitted 2014-11-13 · 🧮 math.FA

On the Almost Everywhere Continuity

classification 🧮 math.FA
keywords characterizationscontinuityeverywherealmostconditionsfunctionintegrabilitylebesgue-almost
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The aim of this paper is to provide characterizations of the Lebesgue-almost everywhere continuity of a function f : [a, b] $\rightarrow$ R. These characterizations permit to obtain necessary and sufficient conditions for the Riemann integrability of f .

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