BI-LIPSCHITZ AND DIFFERENTIABLE SUFFICIENCY OF WEIGHTED JETS

被引：1
|
作者：
Ferreira Costa, Joao Carlos [1 ]
Saia, Marcelo Jose [2 ]
Soares Junior, Carlos Humberto [3 ]
机构：
[1] Univ Estadual Paulista UNESP, Inst Biociencias Letras & Ciencias Exatas, Sao Jose Do Rio Preto, SP, Brazil
[2] CCET UFSCar, Dept Matemat, Sao Carlos, SP, Brazil
[3] CCN UFPI, Dept Matemat, Campus Petronio Portela, Teresina, PI, Brazil
来源：
JOURNAL OF SINGULARITIES | 2022年 / 25卷
基金：
巴西圣保罗研究基金会;
关键词：
sufficiency of jets; weighted jets; V-SUFFICIENCY; GERMS;
D O I：
10.5427/jsing.2022.25f
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we study bi-Lipschitz and differential sufficiency in the set of weighted jets of map germs of weighted degree. Our main result improves the degree of sufficiency of jets in the classical jet space obtained by Takens and by Martins-F ' avaro. Moreover, we give a condition for the bi-Lipschitz sufficiency in both the weighted and non-weighted cases. Bi-Lipschitz sufficiency was not considered in those previously cited works.
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页码：123 / 133
页数：11
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