Universal Covers for Hausdorff Limits of Noncompact Spaces

Details Universal Covers for Hausdorff Limits of Noncompact Spaces Universal Covers for Hausdorff Limits of Noncompact Spaces

2002-07-02

arxiv.org/abs/math/0207027v1

Transactions of the American Mathematical Society 356 (2004), no. 3 pp. 1233-1270.

Mathematics

Differential Geometry

34 pages

Scientific paper

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.

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