{ "id": "1411.3582", "version": "v1", "published": "2014-11-13T15:47:26.000Z", "updated": "2014-11-13T15:47:26.000Z", "title": "On the Almost Everywhere Continuity", "authors": [ "Joël Blot" ], "categories": [ "math.OC", "math.DS" ], "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 .", "revisions": [ { "version": "v1", "updated": "2014-11-13T15:47:26.000Z" } ], "analyses": { "keywords": [ "continuity", "characterizations permit", "sufficient conditions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1411.3582B" } } }