Sunday, 11 January 2015

elementary set theory - Cardinality of sets of functions


Show that the set $A$ of all functions $f:\mathbb{Z}^{+} \to \mathbb{Z}^{+}$ and $B$ of all functions $f:\mathbb{Z}^{+} \to \{0,1\}$ have the same cardinality.




I am having trouble to define a bijection that would prove this statement. Any hints would be appreciated.

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