(i) Show that the class A ( ) defined in Exercise 15 contains the class defined by B ( ( either B for some A ( A, or B ( N for some N ( A with (N) 0 (That is is taken from A by supplementing A with all subsets of all null sets in A that is, sets of measure 0 ) (ii) Also, show that () def A ( ) ...

i Let B and suppose that B A for some A A Then B A with A and 0 so that B A If B N fo ...

(i) Show that the class A* (= ) defined in Exercise 15 contains the class defined...

Question:

(i) Show that the class A* (= Ā) defined in Exercise 15 contains the class Ĉ defined by Ĉ = {B ( (; either B = ! for some A ( A, or B ( N for some N ( A with μ (N) = 0}.
(That is Ĉ is taken from A by supplementing A with all subsets of all null sets in A; that is, sets of measure 0.)
(ii) Also, show that σ(Ĉ) def Â = A* (= Ā).