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Continuations of Riemann Surfaces

Published online by Cambridge University Press:  20 November 2018

Makoto Sakai
Makoto Sakai*
Affiliation:
Tokyo Metropolitan University Tokyo, Japan
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Abstract

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We shall show that if a Riemann surface is continuable, then it admits one of three types of continuations. Using this classification of continuations, we construct two nontrivial examples of two-sheeted unlimited covering Riemann surfaces of the unit disk one of which is continuable and the other is not.

Keywords

Primary:30F20secondary:30F15
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 2 , 01 April 1992 , pp. 357 - 367
Copyright
Copyright © Canadian Mathematical Society 1992

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