{ "id": "math/0207027", "version": "v1", "published": "2002-07-02T20:03:08.000Z", "updated": "2002-07-02T20:03:08.000Z", "title": "Universal Covers for Hausdorff Limits of Noncompact Spaces", "authors": [ "Christina Sormani", "Guofang Wei" ], "comment": "34 pages", "journal": "Transactions of the American Mathematical Society 356 (2004), no. 3 pp. 1233-1270.", "categories": [ "math.DG", "math.GN" ], "abstract": "We prove that if $Y$ is the Gromov-Hausdorff limit of a sequence of complete manifolds, $M^n_i$, with a uniform lower bound on Ricci curvature then $Y$ has a universal cover.", "revisions": [ { "version": "v1", "updated": "2002-07-02T20:03:08.000Z" } ], "analyses": { "subjects": [ "53C20" ], "keywords": [ "universal cover", "hausdorff limits", "noncompact spaces", "uniform lower bound", "ricci curvature" ], "tags": [ "journal article" ], "publication": { "publisher": "AMS", "journal": "Trans. Amer. Math. Soc." }, "note": { "typesetting": "TeX", "pages": 34, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......7027S" } } }