2 problems

Iversen-type conjecture. If the critical set of $f$ is nowhere dense and the cluster set of $f$ has empty interior, then every cluster point of $f$ is an asymptotic value. In parti…

Eremenko–Lyubich's conjecture. Then $f$ has a finite asymptotic value. This conjecture connects the cylindrical area of large preimage sets with the existence of finite asymptotic…