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Universal covers for Hausdorff limits of noncompact spaces
Authors:Christina Sormani   Guofang Wei
Affiliation:Department of Mathematics and Computer Science, Lehman College, City University of New York, Bronx, New York 10468 ; Department of Mathematics, University of California, Santa Barbara, California 93106
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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