The Winding Number and the Residue Theorem

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 3 in Complex Analysis in One Variable, 2001, pp 305-312 from Springer

Abstract: Abstract Exercise 182. Prove that for each compact subset K ⊂ ℂ the complement ℂ \ K has exactly one unbounded connected component.

Date: 2001
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DOI: 10.1007/978-1-4612-0175-5_16

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