{ "id": "1805.07289", "version": "v1", "published": "2018-05-18T15:36:23.000Z", "updated": "2018-05-18T15:36:23.000Z", "title": "A simplified construction of the Lebesgue integral", "authors": [ "Vilmos Komornik" ], "comment": "17 pages", "categories": [ "math.CA" ], "abstract": "We present a modification of Riesz's construction of the Lebesgue integral, leading directly to finite or infinite integrals, at the same time simplifying the proofs.", "revisions": [ { "version": "v1", "updated": "2018-05-18T15:36:23.000Z" } ], "analyses": { "subjects": [ "28-01" ], "keywords": [ "lebesgue integral", "simplified construction", "rieszs construction" ], "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable" } } }