Perelman's Stability Theorem

Details Perelman's Stability Theorem Perelman's Stability Theorem

2007-02-28

arxiv.org/abs/math/0703002v3

Mathematics

Differential Geometry

revised introduction

Scientific paper

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 Gromov-Hausdorff converging to a compact Alexandrov space $X$, $X_i$ is
homeomorphic to $X$ for all large $i$.

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