%0 Journal Article %T Topology of hypersurface singularities with 3-dimensional critical set %A Javier Fernandez de Bobadilla %A Miguel Angel Marco-Buzunariz %J Mathematics %D 2010 %I arXiv %X In this paper, we prove that the Milnor fibre of a singularity over an i.c.i.s. of dimension 3 has the homotopy type of a bouquet of spheres, provided that the function that defines the singularity has finite extended codimension with respect to the ideal that defines the i.c.i.s. %U http://arxiv.org/abs/1002.3774v1