摘要
借助于映射芽稳定性问题的研究方法,定义了映射芽的相对无穷小稳定,证明了映射芽的相对无穷小稳定开折在相对左右等价下是唯一的,这是研究相对稳定映射芽分类问题的一个理论基础,同时也补充了奇点理论在相对意义下的一些结果.
In this paper,by means of the research method for stability problem of map-germs,the relative infinitesimal stable of map-germs is defined.It is proved that the relative infinitesimal stable unfolding of map-germs is unique with respect to the relative left-right equivalence,which is a theoretical basis for the classification of relative stable map-germs and some results for singularity theory in the relative sense are complemented.
作者
石昌梅
熊宗洪
陈松良
SHI Chang-mei;XIONG Zong-hong;CHEN Song-liang(School of Math.and Comput.Sci.,Guizhou Education Univ.,Guiyang 550018,China;College of Comput.and Infor.Engineering,Guizhou Minzu Univ.,Guiyang 550025,China)
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
2018年第3期265-271,共7页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(11661023)
贵州省科技计划(黔科合基础[2017]1136)
贵州师范学院科研基金(2015BS009)
贵州省科技平台及人才团队专项资金(黔科合平台人才[2016]5609)
关键词
映射芽
开折
相对等价关系
相对无穷小稳定
唯一性
map-germ
unfolding
relative equivalence relation
relative infinitesimal stable
uniqueness