A theorem of the complement and some new o-minimal structures
A theorem of the complement and some new o-minimal structures
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补集定理和一些新的o-最小结构
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
A. Wilkie
中科院分区：
文献类型：
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作者：
A. Wilkie
o-极小性是模型论的一个分支，但它具有潜在的几何意义。两个优秀的调查现在存在：[3]是针对数学逻辑学家，而[5]是针对geometers。事实上，后者是应W。Schmid和K. Vilonen，以便他们可以将最近的一些模型理论结果（[13]，[4]）转化为几何术语，从而将其应用于他们的论文[12]。具体地说，尽管他们最终只对定义在集合和映射的亚分析范畴上的对象感兴趣，但他们的一些构造迫使他们研究以下形式的集合：
The subject of o-minimality is a branch of model theory, but it has potential geometrical interest. Two excellent surveys now exist: [3] is intended for mathematical logicians while [5] is aimed at geometers. Indeed, the latter was written at the request of W. Schmid and K. Vilonen so that they could translate some recent model theoretic results ([13], [4]) into geometrical terms and thereby apply it in their paper [12]. Specifically, although they were ultimately only interested in objects defined over the subanalytic category of sets and maps, some of their constructions forced them into looking at sets of the form