English

Universal Covers for Hausdorff Limits of Noncompact Spaces

Differential Geometry 2007-05-23 v1 General Topology

Abstract

We prove that if YY is the Gromov-Hausdorff limit of a sequence of complete manifolds, MinM^n_i, with a uniform lower bound on Ricci curvature then YY has a universal cover.

Keywords

Cite

@article{arxiv.math/0207027,
  title  = {Universal Covers for Hausdorff Limits of Noncompact Spaces},
  author = {Christina Sormani and Guofang Wei},
  journal= {arXiv preprint arXiv:math/0207027},
  year   = {2007}
}

Comments

34 pages

R2 v1 2026-07-22T16:46:27.531Z