{ "id": "math/0503683", "version": "v2", "published": "2005-03-29T13:09:44.000Z", "updated": "2005-05-30T08:56:35.000Z", "title": "Topology of words", "authors": [ "Vladimir Turaev" ], "comment": "59 pages, 4 figures. In the second version I added a discussion of the S-homotopy of words (Section 2)", "categories": [ "math.CO", "math.GT" ], "abstract": "We introduce a topological approach to words. Words are approximated by Gauss words and then studied up to natural modifications inspired by homotopy transformations of curves on the plane.", "revisions": [ { "version": "v2", "updated": "2005-05-30T08:56:35.000Z" } ], "analyses": { "subjects": [ "68R15", "57M99" ], "keywords": [ "homotopy transformations", "gauss words", "natural modifications" ], "note": { "typesetting": "TeX", "pages": 59, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......3683T" } } }