Let ( 0, 1, 2, , let A be the discrete field of subsets of (, and on A, define the function by (A) number of nonnegative integers in A Then show that is a measure, and indeed, a finite measure

Question: Let ( = {0, 1, 2,....}, let A be the discrete -field of subsets of (, and on A, define the function by: (A)

Let ( = {0, 1, 2,....}, let A be the discrete σ-field of subsets of (, and on A, define the function μ by: μ(A) = number of nonnegative integers in A. Then show that μ is a measure, and indeed, a σ-finite measure.

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