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most citedAn optimal extension of Perelman's comparison theorem for quadrangles and its applications

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math.DG2010★ 6 cited

A simple proof of Perelman's collapsing theorem for 3-manifolds

Jianguo Cao, Jian Ge

We will simplify earlier proofs of Perelman's collapsing theorem for 3-manifolds given by Shioya-Yamaguchi and Morgan-Tian. Among other things, we use Perelman's critical point the…