Proof of Perelman's Stability Theorem
Vitali Kapovitch
University of Toronto
March 5, 2007
Abstract: We give a proof of
the celebrated stability theorem of Perelman stating that for a
noncollapsing sequence of Alexandrov spaces $X_i$ with curvature
bounded below Gromov-Hausdorff converging to an Alexandrov space
$X$, $X_i$ is homeomorphic to $X$ for all large $i$.