光滑映射芽的平凡性

Triviality of Smooth Mapping Germs

给出右等价群的子群的定义,并介绍在该子群作用下映射芽的等价及开折的概念,讨论在其子群下平凡开折的性质,并给出光滑映射芽■R-平凡必要条件的证明.

The definition of subgroup of right equivalence group is given,the concept of equivalence and unfolding of map-germ under the action of this subgroup is introduced,the properties of trivial unfolding under its subgroup are discussed,and the necessary conditions of■R-trivial smooth map-germ are given.