The Outer Lebesgue Measure is Translation Invariant and scales nicely with Dilation.
Nathan
Define the sets and . Let be, of course, the outer Lebesgue measure. Suppose that we have a set . In this case, it is possible to cover with a sequence of elementary sets, that is . Note that since is elementary, they may be written as a finite union of disjoint intervals , , … Continue reading The Outer Lebesgue Measure is Translation Invariant and scales nicely with Dilation. →