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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A nonstandard Riemann existence theorem
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by Rahim Moosa PDF
Trans. Amer. Math. Soc. 356 (2004), 1781-1797 Request permission

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
  • © Copyright 2004 American Mathematical Society
  • 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
  • MathSciNet review: 2031041