(adsbygoogle = window.adsbygoogle || []).push({}); "Open" set challenging question and mind-blogging concept!Welcome.

This statement is correct.

[tex]\left\{\left[1,3-\frac{1}{n}\right)\right\}_{n\in\mathbb Z} \text {is an "OPEN" cover of}\left[1,3\right)[/tex]

BUT WHY OPEN?

There are 3 options.

1.All [itex]\left[1,3-\frac{1}{n}\right)[/itex] is the open set in [itex]\mathbb Z[/itex];

or

2.All [itex]\left[1,3-\frac{1}{n}\right)[/itex] is the open set in [itex]\left[1,3\right)[/itex].

or

3.All [itex]\left[1,3-\frac{1}{n}\right)[/itex] is the open set in [itex]\mathbb R^{1}[/itex]

Which one?

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

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

# Open set challenging question and mind-blogging concept!Welcome.

Loading...

Similar Threads - Open challenging question | Date |
---|---|

I Math papers and open problems | Dec 11, 2017 |

I The creation of open problems in Mathematics | Apr 7, 2017 |

I Partial Fraction Challenge | Feb 17, 2017 |

I Open problems and conjectures in Mathematics | Feb 12, 2017 |

Prove existence of open interval with non-zero derivative | Aug 22, 2015 |

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