Finiteness theorem for multi-K-bi-Lipschitz equivalence of map germs

Birbrair, Lev; Ferreira Costa, João Carlos [UNESP]; Da Silva Sena Filho, Edvalter; Mendes, Rodrigo

Finiteness theorem for multi-K-bi-Lipschitz equivalence of map germs

Data

2018-11-01

Autores

Birbrair, Lev

Ferreira Costa, João Carlos

Da Silva Sena Filho, Edvalter

Mendes, Rodrigo

Tipo

Artigo

Direito de acesso

Acesso restrito

Resumo

Let Pk(n,p) be the set of all real polynomial map germs f=(f1,...,fp):(Rn, 0)-> (Rp, 0) with degree of f1,...,fp less than or equal to k ∈ N. The main result of this paper shows that the set of equivalence classes of Pk(n,p), with respect to multi- k -bi-Lipschitz equivalence, is finite.