1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Find two open sets A and B, such that A is subset of B, A is not equal

  1. Apr 21, 2012 #1
    Find two open sets A and B, such that A is subset of B, A is not equal to B, and m(A)=m(B)

    Can I use these two sets?

    A=(0,2) B=(0,1) U (1,2)

    thanks
     
  2. jcsd
  3. Apr 21, 2012 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Re: measure(A)=measure(B)

    Almost. Your example has B a subset of A. You want the reverse.
     
  4. Apr 21, 2012 #3
    Re: measure(A)=measure(B)

    you are right, thanks
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook