Finitely based theories

Author:

Hrushovski Ehud

Abstract

AbstractA stable theory is finitely based if every set of indiscernibles is based on a finite subset. This is a common generalization of superstability and 1-basedness. We show that if such theories have more than one model they must have infinitely many, and prove some other conjectures.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Cited by 15 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. DISTRIBUTIONS OF COUNTABLE MODELS OF THEORIES WITH CONTINUUM MANY TYPES;SIB ELECTRON MATH RE;2015

2. Difference fields and descent in algebraic dynamics. I;Journal of the Institute of Mathematics of Jussieu;2008-10

3. On constants and the strict order property;Archive for Mathematical Logic;2005-11-10

4. On the number of countable models of stable theories;Fundamenta Mathematicae;2001

5. Miscellaneous;Simple Theories;2000

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