ON THE BI-LIPSCHITZ CONTACT EQUIVALENCE OF PLANE COMPLEX FUNCTION-GERMS

被引:4
|
作者
Birbrair, Lev [1 ]
Fernandes, Alexandre [1 ]
Grandjean, Vincent [1 ]
机构
[1] Univ Fed Ceara, Dept Matemat, Campus Picici,Bloco 914, BR-60455760 Fortaleza, Ceara, Brazil
来源
JOURNAL OF SINGULARITIES | 2015年 / 13卷
关键词
D O I
10.5427/jsing.2015.13a
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note, we consider the problem of bi-Lipschitz contact equivalence of complex analytic function-germs of two variables. Basically, it is inquiring about the infinitesimal sizes of such function-germs up to bi-Lipschitz changes of coordinates. We show that this problem is equivalent to right topological classification of such function-germs.
引用
收藏
页码:1 / 10
页数:10
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