n-唯一性的失败：一族例子
Failure on n-uniqueness: a family of examples
摘要：
本文利用模型论与无限置换群理论之间的联系，研究了稳定理论的n-融合问题的n-存在性和n-唯一性.我们证明了，对任意n>1，存在一个稳定理论，它具有（k+1）-存在性和k-唯一性，对任意k<n+1，但它既不具有（n+2）-存在性，也不具有（n+1）-唯一性。特别地，这推广了由于E.Hrushovski在[3]中给出的n=2的例子。
英文摘要：
In this paper, the connections between model theory and the theory of infinite permutation groups are used to study the n-existence and the n-uniqueness for n-amalgamation problems of stable theories. We show that, for any n>1, there exists a stable theory having (k+1)-existence and k-uniqueness, for every k<n+1, but that does not have neither (n+2)-existence nor (n+1)-uniqueness. In particular, this generalizes the example, for n=2, due to E.Hrushovski given in [3].
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