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

Artículos de revistas

Fecha

2018-11-01

Registro en:

Mathematische Nachrichten, v. 291, n. 16, p. 2381-2387, 2018.

1522-2616

0025-584X

http://hdl.handle.net/11449/187054

10.1002/mana.201700243

2-s2.0-85056401536

https://repositorioslatinoamericanos.uchile.cl/handle/2250/5368092

Autor

Universidade Federal do Ceará (UFC)

Universidade Estadual Paulista (Unesp)

Universidade Estadual Vale do Acaraú (UVA)

Universidade de Integração Internacional da Lusofonia Afro-Brasileira (UNILAB)

Institución

Universidade Estadual Paulista (Brasil)

Resumen

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.

Materias

bi-Lipschitz contact equivalence

finiteness theorem

Lipschitz classification

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