A theorem on infinite Nielsen extensions
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- by Noemi Halpern PDF
- Proc. Amer. Math. Soc. 97 (1986), 459-462 Request permission
Abstract:
It is shown that every Riemann surface with $n$ punctures is the infinite Nielsen extension of a surface with $n$ holes.References
- Lipman Bers, Nielsen extensions of Riemann surfaces, Ann. Acad. Sci. Fenn. Ser. A I Math. 2 (1976), 29–34. MR 0486492
- Lipman Bers and Frederick P. Gardiner, Fricke spaces, Adv. in Math. 62 (1986), no. 3, 249–284. MR 866161, DOI 10.1016/0001-8708(86)90103-9
- Noemi Halpern, Some remarks on Nielsen extensions of Riemann surfaces, Michigan Math. J. 30 (1983), no. 1, 65–68. MR 694929
- Noemi Halpern, On the infinite Nielsen extension of a torus, Complex Variables Theory Appl. 4 (1984), no. 1, 111–117. MR 770991, DOI 10.1080/17476938408814096
Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 97 (1986), 459-462
- MSC: Primary 32G15; Secondary 30F35
- DOI: https://doi.org/10.1090/S0002-9939-1986-0840629-2
- MathSciNet review: 840629