1993 | OriginalPaper | Buchkapitel
The Fourteenth Week: Continuous functions on covering surfaces
verfasst von : Michio Kuga
Erschienen in: Galois’ Dream: Group Theory and Differential Equations
Verlag: Birkhäuser Boston
Enthalten in: Professional Book Archive
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Starting this week, we will look at functions defined on manifolds. Let D be a two-dimensional manifold. (If you still feel uncomfortable hearing the word “manifold”, think of D as a region in a plane.) We will denote by C the set of all complex numbers as usual, and consider a continuous function F: D → C that assigns a complex number F(P) to each point P ∈ D. The symbol C0 (D) stands for the set of all continuous functions on D.