BI-LIPSCHITZ AND DIFFERENTIABLE SUFFICIENCY OF WEIGHTED JETS

Costa, João Carlos Ferreira [UNESP]; Saia, Marcelo José; Soares Junior, Carlos Humberto

BI-LIPSCHITZ AND DIFFERENTIABLE SUFFICIENCY OF WEIGHTED JETS

Data

2022-01-01

Autores

Costa, João Carlos Ferreira

Saia, Marcelo José

Soares Junior, Carlos Humberto

Tipo

Artigo

Resumo

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-Fávaro. 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.