Covering Spaces and the Monodromy Theorem
We shall develop the results of this chapter in the context of manifolds (Definition 1 in §1 below) although they, 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.
KeywordsHolomorphic Function Analytic Continuation Neighborhood Versus Hausdorff Space Covering Space
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References : Chapter 2
- Riemann, B. : Grundlagen für eine allgemeine Theorie der Functionen einer veränderlichen komplexen Größe. Collected Work., 3–45.Google Scholar