FINITE C0-DETERMINACY OF REAL ANALYTIC MAP GERMS WITH ISOLATED INSTABILITY

被引：0
|
作者：
Moya-Perez, J. A. [1 ]
Nuno-Ballesteros, J. J. [1 ]
机构：
[1] Univ Valencia, Dept Matemat, Campus Burjassot, Burjassot 46100, Spain
来源：
PUBLICACIONS MATEMATIQUES | 2020年 / 64卷 / 02期
关键词：
finite determinacy; topological classification; Lojasiewicz inequality; DETERMINACY;
D O I：
10.5565/PUBLMAT6422008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let f : (R-n, 0) -> ([R-p, 0) be a real analytic map germ with isolated instability. We prove that if n = 2 and p = 2, 3, then f is finitely C-0-determined. This result can be seen as a weaker real counterpart of Mather-Gaffney finite determinacy criterion.
引用
收藏
页码：563 / 575
页数：13
相关论文
共 34 条
1234