2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119383We study the topological triviality of families of singular surfaces in ${\mathbb C}^3$ parametrized by $\mathcal A$-finitely determined map germs. We prove that the constancy of the Milnor number of the double point locus characterizes the topological triviality of the family.19 pagesComplex VariablesAlgebraic Geometry58K40; 58K65text