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

If m*(E)=0, then m*(E^2)=0.

3. The attempt at a solution

I have observations which may or may not make sense.

Obviously we have that {I_{k}} is a cover of E. So we want {I^{2}_{k}} to be a cover E^{2}.

I have a chain of inequalities which may/may not make sense.

0 = m*(E) = [itex] \sum [/itex] m*(E [itex]\cap[/itex] I_{k}) [itex]\geq[/itex] [itex]\sum m^{*}(I_k) > \sum m^{*}(I_k^2) [/itex]

That's pretty much the extent of my knowledge.

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

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

# Homework Help: Measure of a set E is zero, so is E^2

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

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