T. Kiley
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 Sep24 awarded Autobiographer Apr3 comment Show the outer measure of a union is the sum of the measures without Caratheodony Sorry, I have updated the question to explain what I didn't want to use :D Apr3 revised Show the outer measure of a union is the sum of the measures without Caratheodony Explained what the result I didn't want to use Apr3 revised Show the outer measure of a union is the sum of the measures without Caratheodony Corrected spelling of Caratheodony Apr3 comment Show the outer measure of a union is the sum of the measures without Caratheodony But an outer measure only has the property that the size of the union is $\leq$ the sum of the sizes. Do you not need $\mu^*$ to be a measure to deduce equality? I know it is, when restricted to measurable, but only via Caratheodony, is there an alternative? Apr3 asked Show the outer measure of a union is the sum of the measures without Caratheodony Dec6 answered Whats the solution of this problem Oct30 awarded Teacher Oct30 answered What do $x\in[0,1]^n$ and $x\in\left\{ 0,1\right\}^n$ mean? Oct16 awarded Editor Mar8 awarded Supporter Jan6 awarded Student Jan6 awarded Scholar Jan6 accepted Problem with Picard Iteration Jan6 comment Problem with Picard Iteration Ok so I did another iteration and I am still left with terms at the end off by a factor. However, the $x^3$ term is now correct. Can I then deduce that by taking limits all terms do this? Thanks Jan6 asked Problem with Picard Iteration