Covering Spaces and the Monodromy 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 2 in Complex Analysis in One Variable, 2001, pp 53-68 from Springer

Abstract: Abstract We shall develop the results of this chapter in the context of manifolds (Definition 1 in §2.1 below) although these results, and most of their proofs, remain valid for more general spaces. This is done to keep the statements relatively simple, and manifolds are ample for the applications we have in mind.

Keywords: Holomorphic Function; Analytic Continuation; Covering Space; Countable Base; Local Homeomorphism (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-1-4612-0175-5_2

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