English

On the Almost Everywhere Continuity

Functional Analysis 2014-11-14 v1

Abstract

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 .

Keywords

Cite

@article{arxiv.1411.3582,
  title  = {On the Almost Everywhere Continuity},
  author = {Joël Blot},
  journal= {arXiv preprint arXiv:1411.3582},
  year   = {2014}
}
R2 v1 2026-06-22T06:57:49.352Z