# Peano space

A Peano space is a compact^{}, connected, locally connected metric space.

Every Peano space is arcwise connected.

A Hausdorff space is the continuous image of the unit interval if and only if it is a Peano space.

Title | Peano space |
---|---|

Canonical name | PeanoSpace |

Date of creation | 2013-03-22 15:59:03 |

Last modified on | 2013-03-22 15:59:03 |

Owner | Mathprof (13753) |

Last modified by | Mathprof (13753) |

Numerical id | 6 |

Author | Mathprof (13753) |

Entry type | Definition |

Classification | msc 54E45 |