Title: | Disconnections of plane continua (English) |

Author: | Bajguz, W. |

Language: | English |

Journal: | Proceedings of the 19th Winter School "Geometry and Physics" |

Volume: | |

Issue: | 1999 |

Year: | |

Pages: | 53-55 |

. | |

Category: | math |

. | |

Summary: | The paper deals with locally connected continua $X$ in the Euclidean plane. Theorem 1 asserts that there exists a simple closed curve in $X$ that separates two given points $x$, $y$ of $X$ if there is a subset $L$ of $X$ (a point or an arc) with this property. In Theorem 2 the two points $x$, $y$ are replaced by two closed and connected disjoint subsets $A$, $B$. Again -- under some additional preconditions -- the existence of a simple closed curve disconnecting $A$ and $B$ is stated. (English) |

MSC: | 53A04 |

MSC: | 54D05 |

MSC: | 54F15 |

idZBL: | Zbl 0995.53003 |

idMR: | MR1758078 |

. | |

Date available: | 2009-07-13T21:42:52Z |

Last updated: | 2012-09-18 |

Stable URL: | http://hdl.handle.net/10338.dmlcz/701647 |

. |

Files | Size | Format | View |
---|---|---|---|

WSGP_19-1999-1_8.pdf | 392.0Kb | application/pdf |
View/ |