Perelman's Stability Theorem

Vitali Kapovitch

Perelman's Stability Theorem

微分几何 2007-05-23 v3

作者: Vitali Kapovitch

摘要

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 $i$ .

引用

@article{arxiv.math/0703002,
  title  = {Perelman's Stability Theorem},
  author = {Vitali Kapovitch},
  journal= {arXiv preprint arXiv:math/0703002},
  year   = {2007}
}

备注

revised introduction

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