{ "id": "math/0211362", "version": "v2", "published": "2002-11-22T20:13:46.000Z", "updated": "2003-12-30T02:08:33.000Z", "title": "Approximation of k-dimensional maps", "authors": [ "Yuri A. Turygin" ], "comment": "Accepted in Topology And It's Applications", "categories": [ "math.GN" ], "abstract": "In this paper we prove the equivalence of the questions of B.A. Pasynkov and V.V. Uspenskij. We also get some partial results answering these questions in affirmative. As a corollary to these results we get an extention of the Hurewicz formula to the extensional dimension.", "revisions": [ { "version": "v2", "updated": "2003-12-30T02:08:33.000Z" } ], "analyses": { "subjects": [ "54F45", "55M10" ], "keywords": [ "k-dimensional maps", "approximation", "extensional dimension", "hurewicz formula", "partial results answering" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math.....11362T" } } }