Let $f$ be a mermorphic function on a domain $G$. I want to show that the amount of poles and roots have no accumulation points in $G$.
Someohow this is related to Can it be proved that a Meromorphic function only has a countable number of poles? Now I only need to do it for the zeros. I think because of the definition that the poles have to be isolated, I think it's not really provable.