{ "id": "1706.01546", "version": "v1", "published": "2017-06-05T21:42:25.000Z", "updated": "2017-06-05T21:42:25.000Z", "title": "More on one class of fractals", "authors": [ "Symon Serbenyuk" ], "comment": "14 pages", "categories": [ "math.CA" ], "abstract": "This article is devoted to Cantor-like sets. We describe topological, metric and fractal properties of certain sets whose elements have restrictions on using digits or combinations of digits in own representations. Also, such properties are considered for the cases of special type of sets, i.e., sets whose elements represented in terms of certain series related with classical representations of real numbers.", "revisions": [ { "version": "v1", "updated": "2017-06-05T21:42:25.000Z" } ], "analyses": { "keywords": [ "fractal properties", "special type", "real numbers", "cantor-like sets", "classical representations" ], "note": { "typesetting": "TeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable" } } }