A nonstandard Riemann existence theorem

Author:
Rahim Moosa

Journal:
Trans. Amer. Math. Soc. **356** (2004), 1781-1797

MSC (2000):
Primary 03C60; Secondary 32J99

DOI:
https://doi.org/10.1090/S0002-9947-04-03559-7

Published electronically:
January 6, 2004

MathSciNet review:
2031041

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Abstract | References | Similar Articles | Additional Information

Abstract: We study elementary extensions of compact complex spaces and deduce that every complete type of dimension $1$ is internal to projective space. This amounts to a nonstandard version of the Riemann Existence Theorem, and answers a question posed by Anand Pillay.

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Additional Information

**Rahim Moosa**

Affiliation:
The Fields Institute, 222 College Street, Toronto, Ontario, Canada M5T 3J1

Address at time of publication:
Massachusetts Institute of Technology, Department of Mathematics, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139-4307

MR Author ID:
665313

Email:
moosa@math.mit.edu

Received by editor(s):
July 17, 2002

Published electronically:
January 6, 2004

Additional Notes:
This work was supported by the Natural Science and Engineering Research Council of Canada

Article copyright:
© Copyright 2004
American Mathematical Society