Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-25T07:16:04.602Z Has data issue: false hasContentIssue false

Finitely axiomatizable ℵ1 categorical theories

Published online by Cambridge University Press:  12 March 2014

Ehud Hrushovski*
Affiliation:
Department of Mathematics, Hebrew University of Jerusalem, Giv’at Ram, Israel, E-mail: [email protected]

Abstract

Finitely axiomatizable ℵ1 categorical theories are locally modular.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1994

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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