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Mathematics, 25.10.2019 01:43 KadaLearns

Do (0,1) and r+ = (0,[infinity]) have the same cardinality? if so, either give an explicit bijection (and prove that it is a bijection) or provide an injection from (0,1) to (0,[infinity]) and an injection from (0,[infinity]) to (0,1) (so that by cantor-bernstein theorem the two sets will have the same cardinality). if not, then prove that they have different cardinalities

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