# path component

Two points $x,y$ in a topological space^{} $X$ are said to be in the same path component if there exists a path from $x$ to $y$ in $X$. The equivalence classes^{} of $X$ under this equivalence relation are called the path components of $X$.

Title | path component |
---|---|

Canonical name | PathComponent |

Date of creation | 2013-03-22 12:00:24 |

Last modified on | 2013-03-22 12:00:24 |

Owner | djao (24) |

Last modified by | djao (24) |

Numerical id | 6 |

Author | djao (24) |

Entry type | Definition |

Classification | msc 54D05 |