Open Map
Posted: Sun Jul 10, 2016 11:47 am
Show that if the non constant complex-valued function \( \displaystyle f \) is defined and analytic on an open subset \( \displaystyle A \) of \( \mathbb{C} \), then \( \displaystyle f \) is an open map. That is, \( \displaystyle f \) maps open subsets of \( \displaystyle A \) to open sets.