【摘要】 给出光滑映射芽关于t-P-K-等价与t-S.P-K-等价的有限决定性概念,利用Mather的有限决定性理论,证得光滑映射芽在上述等价关系下的有限决定性定理,为对具有有区别参数的光滑映射芽的分类研究提供了有力工具.更多还原

【Abstract】 The notions of finite determinacy of smooth map germs relative to t-P-K-equivalence and t-S.PK-equivalence are established,and Finite Determinacy Theorem of smooth map germs about the two equivalent relations is shown.The result is a powerful tool of the classification of smooth mapping germs with distinguished parameters relative to the above equivalent relations.更多还原