Is there any nonempty perfect set in R which contains no rational number?(adsbygoogle = window.adsbygoogle || []).push({});

I cannot figure it out...

I appreciate your solutions!

PS: A set E is perfect iff E is closed and every point of E is a limit point of E

**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!

# A Problem about perfect set

Loading...

Similar Threads - Problem perfect | Date |
---|---|

A Maximization problem using Euler Lagrange | Feb 2, 2018 |

A Maximization Problem | Jan 31, 2018 |

I A question about Vector Analysis problems | Oct 4, 2017 |

B Square root differential problem | Jul 13, 2017 |

Proof that perfect sets in R^k are uncountable | Nov 17, 2011 |

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