(1) Let CR be a nonempty set. Briefly make precise which implication is true in the following equivalences (no proof is required): (a) m*(E) 04 (b) m*(E) 0 (c) E countable E measurable. (d) E measurable E Borel set. (2) Explain why the composite of two measurable functions need not be mea- surable. E measurable. E countable.

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