Friday, 31 January 2014

elementary set theory - Prove that the interval (0,1) and the Cartesian product (0,1)times(0,1) have the same cardinality

Prove that the interval (0,1) and the Cartesian product (0,1)×(0,1) have the same cardinality
using the SB theorem?
Also how does one find a bijection on f:(0,)(0,1) such that they have the same cardiniality?

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