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An application of invariant sets to global definability1
Published online by Cambridge University Press: 12 March 2014
Abstract
Vaught's “*-transform method” is applied to derive a global definability theorem of M. Makkai from a classical theorem of Lusin.
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- Research Article
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- Copyright © Association for Symbolic Logic 1979
Footnotes
1
Research partially supported by NSF grant MCS74–08550.
References
REFERENCES
[1]Addison, J. W., The theory of hierarchies, Proceedings of the 1960 Congress on Logic, Methodology and Philosophy of Science, Palo Alto, Stanford University Press, California, 1962, pp. 26–37.Google Scholar
[4]Harnik, V. and Makkai, M., Applications of Vaught sentences and the covering theorem, this Journal, vol. 41 (1976), pp. 171–188.Google Scholar
[5]Keisler, H. J., Finite approximations to infinitely long formulas, Theory of models, North-Holland, Amsterdam, 1965, pp. 158–169.Google Scholar
[7]Lusin, N., Leçons sur les ensembles analytiques et leurs applications, Gauthier-Villars, Paris, 1930.Google Scholar
[8]Makkai, M., Global definability theory in , Bulletin of the American Mathematical Society, vol. 79 (1973), pp. 916–921.CrossRefGoogle Scholar
[9]Miller, D. E., The invariant Πα0 separation principle, Transactions of the American Mathematical Society, vol. 242 (1978), pp. 185–205.Google Scholar
[10]Vaught, R. L., Invariant sets in topology and logic, Fundamenta Mathematicae, vol. 82 (1974), pp. 269–294.CrossRefGoogle Scholar