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Kueker's conjecture for superstable theories

Published online by Cambridge University Press:  12 March 2014

Steven Buechler
Steven Buechler*
Affiliation:
Yale University, New Haven, Connecticut 06520
*
Current address: University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201.
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Abstract

We prove that if every uncountable model of a first-order theory T is ω-saturated and T is superstable then T is categorical in some infinite power.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 49 , Issue 3 , September 1984 , pp. 930 - 934
Copyright
Copyright © Association for Symbolic Logic 1984

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References

REFERENCES

[Ba]Baldwin, John T., Manuscript for a book on stability theory (08, 1980), Springer-Verlag, Berlin (to appear).Google Scholar
[CK]Chang, C. C. and Keisler, H. J., Model theory, North-Holland, Amsterdam, 1973.Google Scholar
[LP]Lascar, D. and Poizat, B., An introduction to forking, this Journal, vol. 44 (1979), pp. 330–350.Google Scholar
[Sa]Sacks, G., Saturated model theory, W. A. Benjamin, New York, 1972.Google Scholar
[Sh]Shelah, S., Classification theory, North-Holland, Amsterdam, 1978.Google Scholar
[St]Steinhorn, Charles, On logics that express “there exist many indiscernibles”, Ph.D. dissertation, University of Wisconsin, Madison, Wisconsin, 1980.Google Scholar
[St 2]Steinhorn, Charles, A new omitting types theorem, this Journal (to appear).Google Scholar