Otro
Bi-Lipschitz A-equivalence of K-equivalent map-germs
Registro en:
Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-matematicas. Milan: Springer-verlag Italia Srl, v. 108, n. 1, p. 173-182, 2014.
1578-7303
10.1007/s13398-012-0105-3
WOS:000333224900007
Autor
Costa, J. C. F.
Nishimura, T.
Ruas, M. A. S.
Resumen
In this paper, two sufficient conditions are provided for given two K-equivalent map-germs to be bi-Lipschitz A-equivalent. These are Lipschitz analogues of the known results on C-r A-equivalence (0 <= r <= infinity) for given two K-equivalent map-germs. As a corollary of one of our results, a Lipschitz version of the well-known Fukuda-Fukuda theorem is provided. Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)