Prove that a set T1 is denumerable if and only if there is a bijection from T1 onto a denumerable set T2

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- October 2nd 2010, 11:01 AMdynas7yProve that a set is denumerable iff...
Prove that a set T1 is denumerable if and only if there is a bijection from T1 onto a denumerable set T2

- October 2nd 2010, 11:26 AMemakarov
I assume a denumerable set is one that has a bijection onto the set of natural numbers. In this case, recall that a composition of two bijections is again a bijection.