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Israel Journal of Mathematics

, Volume 49, Issue 1–3, pp 259–280 | Cite as

A proof of vaught’s conjecture forω-stable theories

  • S. Shelah
  • L. Harrington
  • M. Makkai
Article

Abstract

In this paper it is proved that ifT is a countable completeω-stable theory in ordinary logic, thenT has either continuum many, or at most countably many, non-isomorphic countable models.

Keywords

Prime Model Finite Subset Countable Model ellA Isomorphic Copy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Hebrew University 1984

Authors and Affiliations

  • S. Shelah
    • 1
  • L. Harrington
    • 1
  • M. Makkai
    • 1
  1. 1.Institute for Advanced StudiesThe Hebrew University of JerusalemJerusalemIsrael

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