Classification Theory of Riemann Surfaces

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The purpose of the present monograph is to systematically develop a classification theory of Riemann surfaces. Some first steps will also be taken toward a classification of Riemannian spaces. Four phases can be distinguished in the chronological background: the type problem; general classification; compactifications; and extension to higher dimensions. The type problem evolved in the following somewhat overlapping steps: the Riemann mapping theorem, the classical type problem, and the existence of Green's functions. The ...

Classification Theory of Riemann Surfaces 2012, Springer

ISBN-13: 9783642482717

Softcover Reprint of the Origi edition

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Classification Theory of Riemann Surfaces 1970, Springer

ISBN-13: 9780387048369

Hardcover

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