{ "id": "2211.08664", "version": "v1", "published": "2022-11-16T04:39:14.000Z", "updated": "2022-11-16T04:39:14.000Z", "title": "An non-centered asymmetric Cantor-like Set", "authors": [ "Lauren Wszolek", "Wilfredo O. Urbina" ], "comment": "arXiv admin note: substantial text overlap with arXiv:1411.7110, arXiv:1403.6554, arXiv:2108.13791", "categories": [ "math.CA" ], "abstract": "The ternary Cantor set $C$, constructed by George Cantor in 1883, is probably the best-known example of a perfect nowhere-dense set in the real line, but as we will see later, it is not the only one. The present article will delve into the richness and the peculiarities of $C$ through the exploration of several variants and generalizations and will provide an example of a non-centered asymmetric Cantor-like set.", "revisions": [ { "version": "v1", "updated": "2022-11-16T04:39:14.000Z" } ], "analyses": { "subjects": [ "26A03", "26A30" ], "keywords": [ "non-centered asymmetric cantor-like set", "ternary cantor set", "perfect nowhere-dense set", "best-known example", "george cantor" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }