{ "id": "math/0604437", "version": "v1", "published": "2006-04-20T19:37:31.000Z", "updated": "2006-04-20T19:37:31.000Z", "title": "Morse functions statistics", "authors": [ "Liviu I. Nicolaescu" ], "comment": "5 pages, 2 figures", "categories": [ "math.GT", "math.CO" ], "abstract": "We answer a question of V.I. Arnold concerning the growth rate of the number of Morse functions on the two sphere.", "revisions": [ { "version": "v1", "updated": "2006-04-20T19:37:31.000Z" } ], "analyses": { "subjects": [ "05A16", "05A20", "57M15" ], "keywords": [ "morse functions statistics", "growth rate" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......4437N" } } }