Perelman's Stability Theorem
Abstract
We give a proof of the celebrated stability theorem of Perelman stating that for a noncollapsing sequence $X_i$ of Alexandrov spaces with curvature bounded below GromovHausdorff converging to a compact Alexandrov space $X$, $X_i$ is homeomorphic to $X$ for all large $i$.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 February 2007
 arXiv:
 arXiv:math/0703002
 Bibcode:
 2007math......3002K
 Keywords:

 Mathematics  Differential Geometry;
 53C20
 EPrint:
 revised introduction