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.References
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Additional Information
- Christina Sormani
- Affiliation: Department of Mathematics and Computer Science, Lehman College, City University of New York, Bronx, New York 10468
- MR Author ID: 637216
- ORCID: 0000-0002-2295-2585
- Email: sormani@g230.lehman.cuny.edu
- Guofang Wei
- Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
- MR Author ID: 252129
- Email: wei@math.ucsb.edu
- Received by editor(s): July 24, 2002
- Received by editor(s) in revised form: February 28, 2003
- Published electronically: October 6, 2003
- Additional Notes: The first author was partially supported by NSF Grant # DMS-0102279 and a grant from The City University of New York PSC-CUNY Research Award Program
The second author was partially supported by NSF Grant # DMS-9971833 - © Copyright 2003 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 356 (2004), 1233-1270
- MSC (2000): Primary 53C20
- DOI: https://doi.org/10.1090/S0002-9947-03-03412-3
- MathSciNet review: 2021619