The Fourteenth Week: Continuous functions on covering surfaces

Michio Kuga

A chapter in Galois’ Dream: Group Theory and Differential Equations, 1993, pp 89-92 from Springer

Abstract: Abstract 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 C 0 (D) stands for the set of all continuous functions on D.

Keywords: Differential Equation; Continuous Function; Ordinary Differential Equation; Group Theory; Complex Number (search for similar items in EconPapers)
Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0329-2_15

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DOI: 10.1007/978-1-4612-0329-2_15

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