If ( is countable and is defined on P(() by (A) number of points of A, show that is a measure Furthermore, is finite or finite, depending on whether ( is finite or denumerable, respectively (This measure is called the counting measure )

Question: If ( is countable and is defined on P(() by: (A) = number of points of A, show that is a measure.

If ( is countable and μ is defined on P(() by: μ (A) = number of points of A, show that μ is a measure. Furthermore, μ is finite or σ-finite, depending on whether ( is finite or denumerable, respectively. (This measure is called the counting measure.)

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