Question

Difference between labesgue outer measure & lebesgue measure

Answer 1

Answer:

The Lebesgue measure and Lebesgue outer measure coincide on Lebesgue measurable sets, which can be defined in several equivalent ways. Let m and m∗ denote the Lebesgue measure and the Lebesgue outer measure respectively. ... A=F∪N, where F is an Fσ (i.e. a countable union of closed sets) and m(N)=0.

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