Hi,(adsbygoogle = window.adsbygoogle || []).push({});

Is there a characterization of subsets of the Cantor space C that are closed but not open? As a totally-disconnected set/space, C has a basis of clopen sets; but I'm just curious of what the closed non-open sets are.

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Closed sets in Cantor Space that are not Clopen

Loading...

Similar Threads - Closed sets Cantor | Date |
---|---|

B Can open sets be described in-terms of closed sets? | Apr 9, 2016 |

Sum of two closed sets are measurable | Mar 25, 2012 |

Set of integers is closed. | Dec 11, 2011 |

Phase space, open closed set | Sep 5, 2011 |

Closed set representation as union of closed intervals | May 24, 2011 |

**Physics Forums - The Fusion of Science and Community**