What is the cardinality of the set of all functions from Z to Z
Dont really know how to start.
Any hints would be appreciated
Thanks in advance.
It isn't about topology. It's about the fact that if you aren't doing topology then I assume your idea of continuity is that of the usual idea with $\displaystyle \delta-\varepsilon$ proofs. But, with this kind of continuity (which is what I assumed before) every function $\displaystyle f:\mathbb{Z}\to\mathbb{Z}$ is continuous and so my previous answer stands.