Question

Show that a subset E of R is Lebesgue measurable if and only if m∗(I) ≥ m∗(I ∩ E) + m∗
(I ∩ Ec), for every open interval I (5marks)​

Answer 1

Answer:

Step-by-step explanation:

by S Wang — Definition 2.1. Let E be a subset of R. Let {Ik} be a sequence of open intervals. The Lebesgue outer measure of E is defined by. µ∗(E) = inf.

33 pages