Artigo
Bi-Lipschitz A-triviality of map germs and Newton filtrations
Fecha
2012-02-01Registro en:
Topology and Its Applications. Amsterdam: Elsevier B.V., v. 159, n. 2, p. 430-436, 2012.
0166-8641
10.1016/j.topol.2011.09.017
WOS:000300137600008
Autor
Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
Universidade Federal do Piauí (UFPI)
Resumen
This article is devoted to criteria of Lipschitz equisingularity for families of real analytic map germs from (R-n. 0) to (R-p.0) with n >= p like g(lambda)(x) = g(x) + lambda h(x), where lambda is a small real number. The main result of this article. Theorem 4.2 states a condition on the order of the terms of h(x), in such a way that the family g(lambda) is bi-Lipschitz A-trivial. Theorem 4.2 gives the conditions in terms of Newton polyhedron associated to the germ g. The tools used here are based in the construction of convenient controlled vector fields. (C) 2011 Elsevier B.V. All rights reserved.