映射截断芽相对V-充分性的判定  

Criterion for Relative V-sufficiency of Jets

作　　者：石昌梅[1] 熊宗洪 陶磊[1] SHI Chang-mei;XIONG Zong-hong;TAO Lei(School of Mathematics and Computer Science,Guizhou Education University,Guiyang 550018,China;College of Computer and Information Engineering,Guizhou Minzu University,Guiyang 550025,China)

机构地区：[1]贵州师范学院数学与计算机科学学院,贵州贵阳550018 [2]贵州民族大学数据科学与信息工程学院,贵州贵阳550025

出　　处：《数学的实践与认识》2018年第19期260-267,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11661023);贵州省科技计划项目(黔科合基础[2017]1136);贵州师范学院科研基金(2015BS009)

摘　　要：基于Kuo关于截断芽的V-充分性的研究工作，考虑零点集包含一个给定无边子流形的映射芽，定义了该映射截断芽关于给定子流形的V-充分性，并得到了判定这类V-充分的条件．Based on the research done by Kuo for V-sufficiency of jets. In this paper, we consider the set of all map-germs whose zero sets contain a given submanifold without boundary, and define the V-sufficiency of a jet relative to the given submanifold among all such map-germs. Then we obtain some conditions to characterize the relative V-sufficiency of jets.

关 键 词：映射截断芽 相对V-等价 相对V-充分性 

分 类 号：O174.5[理学—数学]