{ "id": "1307.0107", "version": "v2", "published": "2013-06-29T14:03:38.000Z", "updated": "2014-03-10T15:11:45.000Z", "title": "Pairs of boundary slopes with small differences", "authors": [ "Kazuhiro Ichihara" ], "comment": "9 pages, 1 figure. v2: Lemma 3 is simplified, typos corrected", "categories": [ "math.GT" ], "abstract": "We show that, for any positive real number, there exists a knot in the 3-sphere admitting a pair of boundary slopes whose difference is at most the given number.", "revisions": [ { "version": "v2", "updated": "2014-03-10T15:11:45.000Z" } ], "analyses": { "subjects": [ "57M25" ], "keywords": [ "boundary slopes", "small differences", "positive real number" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1307.0107I" } } }