Bouquet decomposition of the Milnor fibre

We consider the Milnor fibre of an isolated singularity ƒ:(X, 0) → (C, 0) on a reduced, Whitney stratified space germ (X, 0) and prove that it is homotopy equivalent to a bouquet of repeated suspensions of complex links of strata. s a consequence of a “cell attaching” type result which we prove first by investigating the geometric monodromy given by Lêʹs “carrousel method”. sults generalise the bouquet theorems of Milnor, Hamm, Lê, Siersma and the handlebody theorem of Lê and Perron.