稳定映射芽的分类  

Classification of Stable Mapping Buds

作　　者：张晓雪[1] ZHANG Xiaoxue(School of Mathematics and Computer,Jilin Normal University,Changchun,Jilin 130000,China)

机构地区：[1]吉林师范大学数学与计算机学院,吉林长春130000

出　　处：《平顶山学院学报》2023年第5期8-14,共7页Journal of Pingdingshan University

摘　　要：关于光滑映射芽稳定性的讨论一直是奇点理论的重要部分.着重讨论稳定映射芽,描述了稳定映射芽的定义,系统总结了稳定映射芽的特征,通过稳定芽的基本分类定理,用一定的实代数对其进行分类.应用稳定芽分类的基本理论和映射芽的Boardman符号,给出了几个关于稳定芽分类的具体例子,并讨论了几种在稳定映射下可能出现的奇点类型.The stability of smooth mapping sprouts has always been an important part of singularity theory.In fact,people are not interested in all mappings,but what is important is stable mappings.This paper focuses on stable mapping bud.The definition of stable mapping bud is described,and the characteristics of stable mapping bud are summarized systematically.Through the basic classification theorem of stable buds,they are classified by some real algebra.Using the basic theory of stable bud classification and the Boardman symbol of mapping bud,several examples of stable bud classification are given,and several types of singularities that may appear under stable mapping are discussed.

关 键 词：稳定映射芽 奇点理论 接触等价 通用开折 

分 类 号：O177.3[理学—数学]