The complex field with a predicate for the integers
The complex field with a predicate for the integers
复制标题
具有整数谓词的复杂字段
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
Kathryn Vozoris
中科院分区：
文献类型：
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作者：
D. Marker;Kathryn Vozoris
本文研究了整数谓词复数域的模型论性质，并分析了它的可定义集。在这样做的过程中，我们寻找适合于该设置的等级，即忽略来自整数的复杂性的等级。我们把J.Hedenreich定义的模为谓词的Morley秩定义为谓词，并证明了模为整数谓词的复数域的Morley秩模为w。最后，我们考察了局部o-极小的概念，并研究了类似于o-极小结构的结果。
This thesis explores model theoretic properties of the complex field with a predicate for the integers, and analyzes its definable sets. In doing so we seek a rank appropriate for this setting, that is one which ignores the complexity coming from the integers. We consider Morley rank modulo a predicate, as defined by J. Heidenreich, and show that the Morley rank modulo a predicate of the complex field with a predicate for the integers is w. Lastly, we examine the notion of local o-minimality, and investigate results analogous to those for o-minimal structures.