# perfect set

A set is called perfect if it is equal to the set of its limit points^{}. An non-trivial example of a perfect set is the http://planetmath.org/node/2083middle-thirds Cantor set. In fact a more general class of sets is referred to as Cantor sets, which all have (among others) the property of being perfect.

Title | perfect set |
---|---|

Canonical name | PerfectSet |

Date of creation | 2013-03-22 13:18:51 |

Last modified on | 2013-03-22 13:18:51 |

Owner | mathwizard (128) |

Last modified by | mathwizard (128) |

Numerical id | 7 |

Author | mathwizard (128) |

Entry type | Definition |

Classification | msc 54A99 |

Defines | perfect |