Solved: Let D be the set of all finite subsets of positive

Chapter 7, Problem 27E

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Problem 27E

Let D be the set of all finite subsets of positive integers, and define T: Z+ → D by the rule: For all integers n, T (n) = the set of all of the positive divisors of n.

a. Is T one-to-one? Prove or give a counterexample.

b. Is T onto? Prove or give a counterexample.

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