### Abstract

In this note we announce results on the mean curvature ow of mean-convex sets in three dimensions. Loosely speaking, our results justify the naive picture of mean curvature ow where the only singularities are neck pinches, and components which collapse to asymptotically round spheres.

Original language | English (US) |
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Pages (from-to) | 121-124 |

Number of pages | 4 |

Journal | Electronic Research Announcements of the American Mathematical Society |

Volume | 9 |

Issue number | 15 |

DOIs | |

State | Published - Nov 26 2003 |

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### Keywords

- Mean curvature
- Mean-convex
- Singularities

### ASJC Scopus subject areas

- Mathematics(all)