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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Universal covers for Hausdorff limits of noncompact spaces


Authors: Christina Sormani and Guofang Wei
Journal: Trans. Amer. Math. Soc. 356 (2004), 1233-1270
MSC (2000): Primary 53C20
Published electronically: October 6, 2003
MathSciNet review: 2021619
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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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Additional Information

Christina Sormani
Affiliation: Department of Mathematics and Computer Science, Lehman College, City University of New York, Bronx, New York 10468
Email: sormani@g230.lehman.cuny.edu

Guofang Wei
Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
Email: wei@math.ucsb.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-03-03412-3
PII: S 0002-9947(03)03412-3
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
Article copyright: © Copyright 2003 American Mathematical Society