相对稳定映射芽的弱有限决定性

The weak finite deteminacy of relative stable map-germs

主要研究相对稳定映射芽的弱有限决定性。通过讨论映射芽的相对稳定与相对无穷小稳定之间的关系,得到了映射芽相对稳定的一个必要条件,并结合映射芽弱有限决定的判别条件,给出了相对稳定映射芽弱有限决定的阶数估计。

In this paper,we study the weak finite determinacy of relative stable map-germs. We obtain a necessary condition of relative stable by discussing the relationship between relative stable and relative infinitesimally stable of map-germs. And combining with discrimination conditions of the weak finite determination,we give an order estimation of the weak finite determination for relative stable map-germs.