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

1. Sep 15, 2011

### wrldt

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 {Ik} is a cover of E. So we want {I2k} to be a cover E2.

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

0 = m*(E) = $\sum$ m*(E $\cap$ Ik) $\geq$ $\sum m^{*}(I_k) > \sum m^{*}(I_k^2)$

That's pretty much the extent of my knowledge.