{ "id": "1602.01035", "version": "v1", "published": "2016-02-02T18:29:33.000Z", "updated": "2016-02-02T18:29:33.000Z", "title": "Sticky Cantor Sets in ${\\mathbb R}^d$", "authors": [ "Vyacheslav Krushkal" ], "comment": "6 pages", "categories": [ "math.GT" ], "abstract": "A subset of ${\\mathbb R}^d$ is called \"sticky\" if it cannot be isotoped off of itself by a small ambient isotopy. Sticky wild Cantor sets are constructed in ${\\mathbb R}^d$ for each $d\\geq 4$.", "revisions": [ { "version": "v1", "updated": "2016-02-02T18:29:33.000Z" } ], "analyses": { "keywords": [ "sticky cantor sets", "sticky wild cantor sets", "small ambient isotopy" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160201035K" } } }