摘要
利用奇点理论研究了光滑映射芽,利用多重映射芽的几何引理及代数引理导出了在左右等价群下多重映射芽的通用开折定理,并得出了一个充分必要条件及其推论。
Smooth mapping germs are studied by means of singularity theory.A general folding theorem for multiple mapping germs under left and right equivalence groups is derived by geometric and algebraic lemmas of multiple mapping germs,and a necessary and sufficient condition and its corollary is obtained.
作者
梁珂萌
LIANG Kemeng(College of Mathematics and Computer Science,Jilin Normal University,Changchun 130000,China)
出处
《新乡学院学报》
2023年第6期15-19,共5页
Journal of Xinxiang University
关键词
多重映射芽
通用开折
左右等价群
等价关系
multi-mapping germs
versal unfolding
left-right equivalence group
equivalence relation
