On the strong cell decomposition property for weakly o‐minimal structures
On the strong cell decomposition property for weakly o‐minimal structures
复制标题
弱最小结构的强细胞分解性质
DOI：
--
复制
发表时间：
2013
影响因子：
0.3
通讯作者：
R. Wencel
中科院分区：
文献类型：
--
作者：
R. Wencel
我们考虑一类弱o-极小结构，它允许o-极小形式的胞腔分解，对于它我们可以构造某些标准o-极小扩张.该文件包含有关结构的几个基本事实。除其他外，还证明了在初等等价下保持强细胞分解性质。我们还调查fiberwise属性（可定义的集合和可定义的功能），可定义的等价关系，和条件意味着消除的questionaries。
We consider a class of weakly o‐minimal structures admitting an o‐minimal style cell decomposition, for which one can construct certain canonical o‐minimal extension. The paper contains several fundamental facts concerning the structures in question. Among other things, it is proved that the strong cell decomposition property is preserved under elementary equivalences. We also investigate fiberwise properties (of definable sets and definable functions), definable equivalence relations, and conditions implying elimination of imaginaries.