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Martin’s Conjecture forω-stable theories

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Abstract

InA proof of Vaught’s Conjecture for ω-stable theories, S. Shelah, L. Harrington and M. Makkai show thatω-stable theories satisfy Vaught’s Conjecture. By using their results and pushing the analysis one step further, we show thatω-stable theories also satisfy Martin’s Conjecture.

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References

  1. E. Bouscaren and D. Lascar,Countable models of non-multidimensional ℵ 0-stable theories, J. Symb. Log.48 (1983), 197–205.

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  4. S. Shelah, L. Harrington and M. Makkai,A proof of Vaught’s Conjecture for ω-stable theories, Isr. J. Math.49 (1984), 259–280 (this issue).

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Authors and Affiliations

  1. U.E.R. de Mathématiques, Université Paris VII, Tour 45–55 5e étage 2 Place Jussieu, 75251, Paris Cedex 05, France

    Elisabeth Bouscaren

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  1. Elisabeth Bouscaren
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Dedicated to the memory of Abraham Robinson on the tenth anniversary of his death

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Bouscaren, E. Martin’s Conjecture forω-stable theories. Israel J. Math. 49, 15–25 (1984). https://doi.org/10.1007/BF02760643

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  • DOI: https://doi.org/10.1007/BF02760643

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