The independence property in generalized dense pairs of structures

The independence property in generalized dense pairs of structures
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广义稠密结构对的独立性

DOI:
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发表时间:
2011
期刊:
Journal of Symbolic Logic (JSL)
影响因子:
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通讯作者:
A. Onshuus
A. Onshuus
中科院分区:
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文献类型:
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作者:
A. Berenstein;Alfred Dolich;A. Onshuus

文献摘要

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摘要我们提供了一个一般定理,它意味着对于一个(强)依赖理论T,T的充分良好行为的模型对的理论再次(强)依赖。我们将定理的情况下,可爱的荆棘秩一理论,以及设置的一阶拓扑理论的密集对。
Abstract We provide a general theorem implying that for a (strongly) dependent theory T the theory of sufficiently well-behaved pairs of models of T is again (strongly) dependent. We apply the theorem to the case of lovely pairs of thorn-rank one theories as well as to a setting of dense pairs of first-order topological theories.