Universal covers for Hausdorff limits of noncompact spaces

By C. Sormani, Guofang Wei. 2002

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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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/ea73fc7142812dfd54ed5b1baeca04293d28fb2d