Let Ω1 = {z ∈ ℂ : |z| < 1} and Ω2 = ℂ. Which of the following statements are true?
1
There exists a holomorphic surjective map f : Ω1 → Ω2.
2
There exists a holomorphic surjective map f : Ω2 → Ω1.
3
There exists a holomorphic injective map f : Ω1 → Ω2.
4
There exists a holomorphic injective map f : Ω2 → Ω1.