{ "id": "1403.6554", "version": "v1", "published": "2014-03-26T01:30:35.000Z", "updated": "2014-03-26T01:30:35.000Z", "title": "On Cantor-like sets and Cantor-Lebesgue singular functions", "authors": [ "Robert DiMartino", "Wilfredo Urbina" ], "comment": "16 pages, 7 figures", "categories": [ "math.CA" ], "abstract": "In this paper we discuss several variations and generalizations of the Cantor set and study some of their properties. Also for each of those generalizations a Cantor-like function can be constructed from the set. We will discuss briefly the possible construction of those functions.", "revisions": [ { "version": "v1", "updated": "2014-03-26T01:30:35.000Z" } ], "analyses": { "subjects": [ "26A03", "26A30" ], "keywords": [ "cantor-lebesgue singular functions", "cantor-like sets", "generalizations", "cantor set" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1403.6554D" } } }