A tree argument in infinitary model theory
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- by V. Harnik and M. Makkai PDF
- Proc. Amer. Math. Soc. 67 (1977), 309-314 Request permission
Abstract:
A tree argument is used to show that any counterexample to Vaught’s conjecture must have an uncountable model. A similar argument replaces the use of forcing by Burgess in a theorem on $\sum _1^1$ equivalence relations.References
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J. P. Burgess, Infinitary languages and descriptive set theory, Ph. D. Thesis, Univ. of California, Berkeley, 1974.
V. Harnik and M. Makkai, Some remarks on Vaught’s conjecture, J. Symbolic Logic 40 (1975), 300-301 (abstract).
L. Harrington, A powerless proof of a theorem of Silver (manuscript).
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 67 (1977), 309-314
- MSC: Primary 02H10; Secondary 02B25
- DOI: https://doi.org/10.1090/S0002-9939-1977-0472506-8
- MathSciNet review: 0472506