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Quelques précisions sur la D.O.P. et la profondeur d'une théorie

Published online by Cambridge University Press:  12 March 2014

D. Lascar
D. Lascar*
Affiliation:
Uer de Mathématique et Informatique, Université Paris VII, 75251 Paris 05, France
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Abstract

We give here alternative definitions for the notions that S. Shelah has introduced in recent papers: the dimensional order property and the depth of a theory. We will also give a proof that the depth of a countable theory, when denned, is an ordinal recursive in T.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 50 , Issue 2 , June 1985 , pp. 316 - 330
Copyright
Copyright © Association for Symbolic Logic 1985

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References

RÉFÉRENCES

[B]Barwise, J., Admissible sets and structures, Springer-Verlag, Berlin, 1975.CrossRefGoogle Scholar
[H]Harrison, J., Recursive pseudo-well-orderings, Transactions of the American Mathematical Society, vol. 131 (1968), pp. 526–543.CrossRefGoogle Scholar
[HM]Harrington, L. and Makkai, M., An exposition of Shelah's main gap, Notre Dame Journal of Formal Logic (to appear).Google Scholar
[K]Kechris, A. S., Σ11 derivatives with applications, M.I.T. Logic Seminar, Cambridge, Massachusetts, 1974.Google Scholar
[L]Lascar, D., Ordre de Rudin-Keisler et poids dans les théories stables, Zeitschrift für Mathematische Logik und Grundlagen der Mathematik, vol. 28 (1982), pp. 413–430.CrossRefGoogle Scholar
[LP]Lascar, D. and Poizat, B., An introduction to forking, this Journal, vol. 44 (1979), pp. 330–350.Google Scholar
[Sa]Saffe, J., The number of uncountable models of ω-stable theories, Annals of Pure and Applied Logic, vol. 24 (1983), pp. 231–261.CrossRefGoogle Scholar
[Sh1]Shelah, S., The lazy model-theoretician's guide to stability, Logique et Analyse, Nouvelle Série, vol. 18 (1975), pp. 241–308.Google Scholar
[Sh2]Shelah, S., Classification theory and the number of nonisomorphic models, North-Holland, Amsterdam, 1978.Google Scholar
[Sh3]Shelah, S., The spectrum problem. I, II, Israel Journal of Mathematics, vol. 43 (1982), pp. 324–356, 357–364.CrossRefGoogle Scholar
[Sh4]Shelah, S., The spectrum problem. III (preprint).Google Scholar