Question: Prove that if A and B are two countable sets, then so also A B. Hint: Assume that A (m,a2 , (13, ) and B

Prove that if A and B are two countable sets, then

Prove that if A and B are two countable sets, then so also A B. Hint: Assume that A (m,a2 , (13, ) and B {b.b2, ls, ). Such a listing of elements is possible since they both are countable sets. Now construct a bijection f : N A B and show that it is indeed a bijection. Take a look 1, 02, 03

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