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Universal Covers for Hausdorff Limits of Noncompact Spaces

Christina Sormani·Guofang Wei
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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.

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Christina Sormani, Guofang Wei. 2002-07-02. Universal Covers for Hausdorff Limits of Noncompact Spaces. https://arxiv.org/abs/math/0207027

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