# locally simply connected

Let $X$ be a topological space^{} and $x\in X$. $X$ is said to be *locally simply connected at* $x$, if every neighborhood^{} of $x$ contains a simply connected neighborhood of $x$.

$X$ is said to be locally simply connected if it is locally simply connected at every point.

Title | locally simply connected |
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Canonical name | LocallySimplyConnected |

Date of creation | 2013-03-22 13:25:23 |

Last modified on | 2013-03-22 13:25:23 |

Owner | Dr_Absentius (537) |

Last modified by | Dr_Absentius (537) |

Numerical id | 6 |

Author | Dr_Absentius (537) |

Entry type | Definition |

Classification | msc 54D05 |

Synonym | locally 1-connected |

Defines | locally simply connected |