Whitney定理的一个推广形式

数学季刊 ›› 2007, Vol. 22 ›› Issue (1): 75-78.

Whitney定理的一个推广形式

1.Department of Mathematical,Guizhou Institute for Nationalities,Guiyang 550025,China; 2.Department of Mathematical,Shanghai Jiaotong University,Shanghai 200240,China

收稿日期:2003-08-08 出版日期:2007-03-30 发布日期:2023-11-13
作者简介:CEN Yan-ming(1942-),male,native of Dushan,Guizhou,a professor of Guizhou Institute for Nationalities,engages in singularity theory of differentiable maps.
基金资助:
Supported by the NSF of China(10261002)；

A Generalized Form of Whitney's Theorem

1.Department of Mathematical,Guizhou Institute for Nationalities,Guiyang 550025,China; 2.Department of Mathematical,Shanghai Jiaotong University,Shanghai 200240,China

Received:2003-08-08 Online:2007-03-30 Published:2023-11-13
About author:CEN Yan-ming(1942-),male,native of Dushan,Guizhou,a professor of Guizhou Institute for Nationalities,engages in singularity theory of differentiable maps.
Supported by:
Supported by the NSF of China(10261002)；

摘要/Abstract

摘要： Whitney’s theorem is a famous theorem in the local singularity theory.In this paper,as an application of Malgrange preparation theorem,a generalized form of Whitney’s theorem will be derived.

关键词: generalized , of Whitney's , theorem

Abstract: Whitney’s theorem is a famous theorem in the local singularity theory.In this paper,as an application of Malgrange preparation theorem,a generalized form of Whitney’s theorem will be derived.

Key words: generalized , of Whitney's , theorem

中图分类号:

O193

岑燕明, 岑丽辉. Whitney定理的一个推广形式[J]. 数学季刊, 2007, 22(1): 75-78.

CEN Yan-ming, CEN Li-hui. A Generalized Form of Whitney's Theorem[J]. Chinese Quarterly Journal of Mathematics, 2007, 22(1): 75-78.

[1]	张雯雯, 李平润. 非齐次Riemann-Hilbert边值问题的求解[J]. 数学季刊, 2024, 39(3): 262-269.
[2]	赵杰, 吴喜民, 王娟. 重复齐次化问题的强收敛率[J]. 数学季刊, 2024, 39(2): 171-179.
[3]	李鸿军. 凸复Finsler流形上的Hopf-Rinow定理[J]. 数学季刊, 2024, 39(1): 31-45.
[4]	赵包, 杨赟瑞, 马竹艳. 非局部时滞传染病模型的行波解[J]. 数学季刊, 2020, 35(4): 331-343.
[5]	史美华, 贾玲. Yetter-Drinfeld Hopf代数的Maschke型定理[J]. 数学季刊, 2018, 33(3): 287-292.
[6]	汪勐航, 裴文宸, 张宇恒, 应晗璐, 王学军. m-NA随机变量部分和的若干强收敛性[J]. 数学季刊, 2018, 33(2): 172-180.
[7]	徐建中, 张豫川, 周宗福. 一类无穷时滞积分方程概周期解的存在唯一性[J]. 数学季刊, 2018, 33(2): 166-171.
[8]	张海燕, 汤获, 李书海, 马丽娜. 利用微分算子定义的某类p-叶解析函数的一些基本性质[J]. 数学季刊, 2018, 33(2): 132-139.
[9]	王见勇. l~0({X_i})型赋准范空间的共轭空间的表示问题[J]. 数学季刊, 2017, 32(3): 294-304.
[10]	许青, 刘智斌, 王建飞. 单位球上α-Bloch映照的Bloch常数[J]. 数学季刊, 2017, 32(1): 79-87.
[11]	闫春燕, 张芳芳. 有界星形圆形域上星形映射的参数表示[J]. 数学季刊, 2016, 31(3): 288-297.
[12]	张晓飞, 闫春燕. 抛物星形映射子族的增长定理和偏差定理[J]. 数学季刊, 2016, 31(2): 211-220.
[13]	吴红萍. 非线性奇异二阶三点边值问题的对称正解[J]. 数学季刊, 2015, 30(3): 358-365.
[14]	王文, 杨世国, 齐继兵. 两个单形混合顶点角的广义正弦定理及应用[J]. 数学季刊, 2015, 30(2): 190-198.
[15]	刘兴元. 中立型非线性泛函差分方程三个正周期解的存在性[J]. 数学季刊, 2015, 30(2): 172-183.