- #1
wrldt
- 13
- 0
Homework Statement
If m*(E)=0, then m*(E^2)=0.
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) = [itex] \sum [/itex] m*(E [itex]\cap[/itex] Ik) [itex]\geq[/itex] [itex]\sum m^{*}(I_k) > \sum m^{*}(I_k^2) [/itex]
That's pretty much the extent of my knowledge.