Suppose A is not a bounded set and m(A∩B)≤(3/4)m(B) for every B. what is m(A)??(adsbygoogle = window.adsbygoogle || []).push({});

here, m is Lebesgue Outer Measure

My attemption is :

Let An=A∩[-n,n], then m(A)=lim m(An)= lim m(An∩[-n,n]) ≤ lim (3/4)m([-n,n]) = infinite.

is my solution right? I am confusing m(A) < infinite , it doest make sence for me. Could someone help me???

**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!

# Measure of unbounded set

Loading...

Similar Threads - Measure unbounded | Date |
---|---|

B Least / Smallest / Minimum Detectable Difference | Jan 21, 2018 |

A Measures of Center/Spread in Categorical/Ordinal | Jan 16, 2018 |

I Help with sample size to measure Form Error of a round metal part | Oct 29, 2017 |

B Name for particular statistical measure | Aug 26, 2017 |

B Unbounded Logical Trees | Aug 3, 2016 |

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