(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

We have two measures: miu and miu', with miu(E)=0 if E can be written as E' union E'' where the projection of E' onto the first coordinate is countable, and the projection of E'' onto the second coordinate is countable. If E cannot be written in this way, miu(E)=infinity.

Also, miu'(E)=0 if E can be written as E' union E'' union E''' where the projection of E' onto the first coordinate is countable, the projection of E'' onto the second coordinate is countable and the projection of E''' onto the line y=x is countable. If E cannot be written in this way, miu'(E)=infinity.

Now, let E={(x,-x)|x is in R}

Compute miu(E) and miu'(E)....

2. Relevant equations

3. The attempt at a solution

I need to show that miu(E)=infinity and that miu'(E)=0....

**Physics Forums | Science Articles, Homework Help, Discussion**

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!

# Homework Help: Product measures

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**