Universal Covers for Hausdorff Limits of Noncompact Spaces
classification
🧮 math.DG
math.GN
keywords
universalboundcompletecovercoverscurvaturegromov-hausdorffhausdorff
read the original 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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