论文标题
平面全局半分析集的闭合和连接的组件，该集合由O-Minimal结构中的分析函数定义
Closure and Connected Component of a Planar Global Semianalytic Set Defined by Analytic Functions Definable in O-minimal Structure
论文作者
论文摘要
我们考虑由O-最低结构中可定义的实际分析功能定义的全局半分析集。当O最低结构在多个百货上有限时，我们表明该集合的闭合是由可定义的实际分析函数定义的全局半分析集。我们还证明，平面全局半分析集的连接组件由可在受限分析字段的子结构中定义的真实分析函数定义，是由可定义的实际分析函数定义的全局半分析集。
We consider a global semianalytic set defined by real analytic functions definable in an o-minimal structure. When the o-minimal structure is polynomially bounded, we show that the closure of this set is a global semianalytic set defined by definable real analytic functions. We also demonstrate that a connected component of a planar global semianalytic set defined by real analytic functions definable in a substructure of the restricted analytic field is a global semianalytic set defined by definable real analytic functions.
