Covering Spaces and the Monodromy Theorem

  • Raghavan Narasimhan


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.


Holomorphic Function Analytic Continuation Neighborhood Versus Hausdorff Space Covering Space 
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References : Chapter 2

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    Ahlfors, L. V.: Complex analysi., 3rd ed. New York: McGraw-Hill, 1979.zbMATHGoogle Scholar
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    Cartan, H. : Théorie élémentaire des fonctions analytiques d’une ou plusieurs variables complexes. Paris, 1961. (English translation : Elementary theory of analytic functions of one or several complex variables. Addison-Wesley, 1963.)zbMATHGoogle Scholar
  3. [3]
    Conway, J. B.: Functions of one complex variable. Springer, 1973.zbMATHCrossRefGoogle Scholar
  4. [4]
    Riemann, B. : Grundlagen für eine allgemeine Theorie der Functionen einer veränderlichen komplexen Größe. Collected Work., 3–45.Google Scholar
  5. [5]
    Saks, S. and A. Zygmund: Analytic functions. Warsaw, 1952.zbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1985

Authors and Affiliations

  • Raghavan Narasimhan
    • 1
  1. 1.Department of MathematicsThe University of ChicagoChicagoUSA

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