Let a and b be two sets such that there exists a function f


Let A and B be two sets such that there exists a function f from A onto B and a function g from B onto A. Show, assuming AC, that A and B have the same cardinality. Hint: If h(y) ∈ f -1({y}) for all y in B, then h is 1-1 from B into A.

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Basic Statistics: Let a and b be two sets such that there exists a function f
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