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Universal Covers for Hausdorff Limits of Noncompact Spaces

Christina Sormani, Guofang Wei

math.DGarXiv:math/0207027

Abstract

We prove that if Y is the Gromov-Hausdorff limit of a sequence of complete manifolds, Mni, with a uniform lower bound on Ricci curvature then Y has a universal cover.

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