Homotopy type of disentanglements of multi-germs

Abstract

AbstractFor a complex analytic map f from n-space to p-space with n < p and with an isolated instability at the origin, the disentanglement of f is a local stabilization of f that is analogous to the Milnor fibre for functions.For mono-germs it is known that the disentanglement is a wedge of spheres of possibly varying dimensions. In this paper we give a condition that allows us to deduce that the same is true for a large class of multi-germs.