A weak version of Mond's conjecture

R. Giménez Conejero, J. J. Nuño-Ballesteros

We prove that a map germ $f:({\mathbb{C}}^n,S)\to ({\mathbb{C}}^{n+1},0)$ with isolated instability is stable if and only if ${\mu }_I(f)=0$, where ${\mu }_I(f)$ is the image Milnor number define…