Abstract
In this chapter, we shall prove that any simply connected open set in ℂ, which is not all of ℂ, is analytically isomorphic to the unit disc D = }z ∊ ℂz < 1}. The proof will also enable us to characterize simple connectedness in several ways.
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Narasimhan, R., Nievergelt, Y. (2001). The Riemann Mapping Theorem and Simple Connectedness in the Plane. In: Complex Analysis in One Variable. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0175-5_7
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DOI: https://doi.org/10.1007/978-1-4612-0175-5_7
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