Artículos de revistas
Bi-Lipschitz ’alfa’-equivalence of ’capa’-equivalent map-germs.
Fecha
2014-03Registro en:
Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales, Serie A : Matemáticas, New York, v.108, n.1, p.173-182, 2014
10.1007/s13398-012-0105-3
Autor
Costa, J. C. F.
Nishimura, T.
Ruas, Maria Aparecida Soares
Institución
Resumen
In this paper, two sufficient conditions are provided for given two 'capa'-equivalent map-germs to be bi-Lipschitz 'alfa'-equivalent. These are Lipschitz analogues of the known results on 'C POT.R' 'alfa'-equivalence (0≤r≤∞) for given two 'capa'-equivalent map-germs. As a corollary of one of our results, a Lipschitz version of the well-known Fukuda–Fukuda theorem is provided.