By a celebrated 1976 result regarding the geometry of families of hypersurfaces with isolated singularities, Lê and Ramanujam showed that the constancy of a single numerical invariant, namely the Milnor number, implies that the family is locally topologically trivial. This classical result has led to generalizations of the Milnor number to various numerical invariants, including ”polar multiplicities”, ”Lê numbers” and ”Segre numbers”, all designed to reflect the geometry of singularities in very general scenarios. In the present study, we consider families of finitely-determined holomorphic map germs from Cundefined to C2 for n ≥ 3, and characterize local topological triviality in terms of the constancy of (n-1) Lê numbers.