2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96045The following numerical control over the topological equivalence is proved: two complex polynomials in $n\not= 3$ variables and with isolated singularities are topologically equivalent if one deforms into the other by a continuous family of polynomial functions $f_s \colon \mathbb{C}^n \to \mathbb{C}$ with isolated singularities such that the degree, the number of vanishing cycles and the number of atypical values are constant in the family.14 pages, revised text for final versionAlgebraic GeometryGeometric Topologytext