2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96832We study one parameter deformations of a pair consisting of an analytic singular space $X_0$ and a function $f_0$ on it, in case this defines an isolated singularity. We prove, under general conditions, a bouquet decomposition of the Milnor fibre when the isolated singularity splits in the deformation and the invariance of the Milnor fibration if there is no splitting.15 pagesAlgebraic GeometryPrimary 32S15; Secondary 32S30, 32S55text