{ "id": "math/0312042", "version": "v1", "published": "2003-12-01T22:03:45.000Z", "updated": "2003-12-01T22:03:45.000Z", "title": "Measures of $\\e$-complexity", "authors": [ "V. Afraimovich", "L. Glebsky" ], "comment": "8 page, to be send in Taiwanese Journal of Mathematics", "categories": [ "math.DS", "math.MG" ], "abstract": "We study some measures which are related to the notion of the $\\e$-complexity. We prove that measure of $\\e$-complexity defined on the base of the notion of $\\e$-separability is equivalent to the dual measure that is defined through $\\e$-nets. Keywords: Complexity, Separability, Bernoulli measure", "revisions": [ { "version": "v1", "updated": "2003-12-01T22:03:45.000Z" } ], "analyses": { "subjects": [ "28A78", "37B05" ], "keywords": [ "complexity", "bernoulli measure", "dual measure" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003math.....12042A" } } }