# Hahn-Mazurkiewicz theorem

A Hausdorff space is the continuous^{} image of the unit interval $[0,1]$ if and only if it is a Peano space.

Title | Hahn-Mazurkiewicz theorem |
---|---|

Canonical name | HahnMazurkiewiczTheorem |

Date of creation | 2013-03-22 12:59:38 |

Last modified on | 2013-03-22 12:59:38 |

Owner | CWoo (3771) |

Last modified by | CWoo (3771) |

Numerical id | 5 |

Author | CWoo (3771) |

Entry type | Theorem |

Classification | msc 54E99 |

Related topic | RepresentationTheoremForCompactMetricSpaces |