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A nonstandard Riemann existence theorem


Author: Rahim Moosa
Translated by:
Journal: Trans. Amer. Math. Soc. 356 (2004), 1781-1797
MSC (2000): Primary 03C60; Secondary 32J99
Published electronically: January 6, 2004
MathSciNet review: 2031041
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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
Email: moosa@math.mit.edu

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