Abstract
AbstractFor any countable transitive complete theory T with infinite models and the finite model property, we construct a minimal structure M such that the theory of M is small if and only if T is small, and is λ-stable if and only if T is λ-stable. This gives a series of new examples of minimal structures.
Publisher
Cambridge University Press (CUP)
Reference4 articles.
1. Model Theory and Modules
2. Marsh, W. E. , On ω1-categorical and not ω-categorical theories, Ph.D. thesis , Dartmouth College, 1966.
Cited by
4 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. Minimal first-order structures;Annals of Pure and Applied Logic;2011-11
2. Some questions concerning minimal structures;Publications de l'Institut Math?matique (Belgrade);2007
3. On minimal ordered structures;Publications de l'Institut Math?matique (Belgrade);2005
4. Minimal but not strongly minimal structures with arbitrary finite dimensions;Journal of Symbolic Logic;2001-03