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Constructing strongly equivalent nonisomorphic models for unsuperstable theories, Part A

Published online by Cambridge University Press:  12 March 2014

Tapani Hyttinen
Affiliation:
Department of Mathematics, P. O. Box 4, 00014, University of Helsinki, Finland
Saharon Shelah
Affiliation:
Institute of Mathematics, The Hebrew University, Jerusalem, Israel Rutgers University, Hill Ctr-Busch, New Brunswick, New Jersey 08903

Abstract

We study how equivalent nonisomorphic models an unsuperstable theory can have. We measure the equivalence by Ehrenfeucht-Fraisse games. This paper continues the work started in [HT].

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1994

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References

[HS]Hyttinen, T. and Shelah, S., Constructing strongly equivalent nonisomorphic models for unsu-perstable theories, part B (to appear).Google Scholar
[HT]Hyttinen, T. and Tuuri, H., Constructing strongly equivalent nonisomorphic models for unstable theories, Annals of Pure and Applied Logic, vol. 52 (1991), pp. 203–248.CrossRefGoogle Scholar
[Je]Jech, T.. Set theory, Academic Press, New York, 1978.Google Scholar
[MSV]Mekler, A., Shela, S., and Väänänen, J, The Ehrenfeucht-Fraisse-game of length ω1, Transactions of the American Mathematical Society, vol. 339 (1983), pp. 567–580.Google Scholar
[Sh1]Shelah, S., Nonelementary classes: part II, Classification theory (Baldwin, J. T., editor) Lecture Notes in Mathematics, vol. 1292, Springer-Verlag, Berlin and New York. (1987).Google Scholar
[Sh2]Shelah, S., Classification theory, Studies in Logic and the Foundations of Mathematics (second edition), vol. 92, North-Holland. Amsterdam, 1990.Google Scholar
[Sh3]Shelah, S., Non-structure theory (to appear).Google Scholar
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