Let (X, B(R), µ) be a Borel measure space. Suppose that {An = ["±1, 4n-1]}, be a family of elements of B(R). Show that A1 C A2 C A3.. C An C ...,then evaluate u(U1[+1, in-11). n n=1 n=: п

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.2: Complex Numbers And Quaternions
Problem 50E
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Let (X, B(R), µ) be a Borel measure space.
Suppose that {A,, = ["+1, 4n-1]} be a family of elements of B(R).
Show that A1 C A2 C A3.... C An C ...,then evaluate u(U1["1,
n=1
4n-
n=1
n
Transcribed Image Text:Let (X, B(R), µ) be a Borel measure space. Suppose that {A,, = ["+1, 4n-1]} be a family of elements of B(R). Show that A1 C A2 C A3.... C An C ...,then evaluate u(U1["1, n=1 4n- n=1 n
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