{ "id": "math/0512513", "version": "v1", "published": "2005-12-22T01:03:05.000Z", "updated": "2005-12-22T01:03:05.000Z", "title": "A short proof of Bing's characterization of$S^3$", "authors": [ "Yo'av Rieck" ], "comment": "To appear in Proceedings of the AMS, 2 pages", "categories": [ "math.GT" ], "abstract": "We give a short proof of Bing's characterization of $S^3$: a compact, connected 3-manifold $M$ is $S^3$ if and only if every knot in $M$ is isotopic into a ball.", "revisions": [ { "version": "v1", "updated": "2005-12-22T01:03:05.000Z" } ], "analyses": { "subjects": [ "57M40", "57N12" ], "keywords": [ "short proof", "bings characterization" ], "note": { "typesetting": "TeX", "pages": 2, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math.....12513R" } } }