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Finitely axiomatizable ℵ1 categorical theories

Published online by Cambridge University Press:  12 March 2014

Ehud Hrushovski
Ehud Hrushovski*
Affiliation:
Department of Mathematics, Hebrew University of Jerusalem, Giv’at Ram, Israel, E-mail: ehud@math.mit.edu
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Abstract

Finitely axiomatizable ℵ1 categorical theories are locally modular.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 59 , Issue 3 , September 1994 , pp. 838 - 844
Copyright
Copyright © Association for Symbolic Logic 1994

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References

REFERENCES

[B]Baldwin, J., αT is finite for ℵ1-categorical T, Transactions of the American Mathematical Society, vol. 181 (1973), pp. 37–51.Google Scholar
[Bu1]Buecher, S., Locally modular theories of finite rank, Annals of Pure and Applied Logic, vol. 30 (1980), pp. 83–94.Google Scholar
[Bu2]Buecher, S., Pseudoprojective strongly minimal sets are locally modular, this Journal, no. 4, vol. 56, (1991), pp. 1184–1194.Google Scholar
[HI]Hrushovski, E, Unimodular minimal structures, London Journal of Mathematics (to appear).Google Scholar
[H2]Hrushovski, E., Locally modular regular types, Classification theory: Chicago 1985 (Baldwin, J. T.. editor), Springer-Verlag, New York, 1987.Google Scholar
[Li]Lindström, Per, On model-completeness, Theoria, vol. 30 (1964), pp. 183–196.CrossRefGoogle Scholar
[Pe]Peretyat’kin, M. G., Example of an omega-one-categorical complete finitely axiomatisable theory, Algebra i Logika, vol. 19 (1980), pp. 314–347. (Russian)Google Scholar
[Pi]Pillay, Anand, forthcoming book on geometric stability theory.Google Scholar