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Construct an explicit bijection between the following sets. Once you've done that, construct injections going in opposite directions as if you were aiming to apply
Construct an explicit bijection between the following sets. Once you've done that, construct injections going in opposite directions as if you were aiming to apply the S-B Theorem. Reflect on how much nicer it is to use S-B. a. (0,1) and [0,1) b. (0,1) and [0,1] 2. Prove that [0,1] and , where = [2n, 2n 1] have the same cardinality. Please note that in this assignment, it is not enough to simply give a function and state that it is injective/surjective/bijective. You have to provide a PROOF that the function you're providing has these properties
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