Universal covers for Hausdorff limits of noncompact spaces

Sormani, Christina; Wei, Guofang

doi:10.1090/S0002-9947-03-03412-3

Universal covers for Hausdorff limits of noncompact spaces
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by Christina Sormani and Guofang Wei PDF

Trans. Amer. Math. Soc. 356 (2004), 1233-1270 Request permission

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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