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
DOI:
https://doi.org/10.1090/S0002-9947-04-03559-7
Published electronically:
January 6, 2004
MathSciNet review:
2031041
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: We study elementary extensions of compact complex spaces and deduce that every complete type of dimension 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:
https://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