The Riemann Mapping Theorem and Simple Connectedness in the Plane

Raghavan Narasimhan and Yves Nievergelt
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Raghavan Narasimhan: University of Chicago, Department of Mathematics
Yves Nievergelt: Eastern Washington University, Department of Mathematics

Chapter Chapter 7 in Complex Analysis in One Variable, 2001, pp 139-149 from Springer

Abstract: 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

Keywords: Riemann Surface; Blaschke Product; Simple Connectedness; Uniformization Theorem; Riemann Mapping Theorem (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-1-4612-0175-5_7

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