  We consider the possible disentanglements of holomorphic map germs $f \colon
(\mathbb C^n,0) \to (\mathbb C^N,0)$, $n < N$, with nonisolated locus of
instability $\operatorname{Inst}(f)$. The aim is to achieve lower bounds for
their (homological) connectivity in terms of $\dim \operatorname{Inst}(f)$. Our
methods apply in the case of corank $1$.
