2 problems

Bouquet conjecture. The Milnor fibre of $(X_0,f_0)$ is homotopy equivalent to the bouquet of the Milnor fibres of the isolated singularities into which it splits.

Let $f,g\colon(\mathbb{C}^n,0)\to(\mathbb{C},0)$ be holomorphic function-germs with isolated singularities at the origin, and let $f_*$ and $g_*$ be their initial forms. Suppose th…