International Mathematics Research Notices ( IF 1.291 ) Pub Date : 2020-01-13 , DOI: 10.1093/imrn/rnz374
Batista E, Costa J, Nuño-Ballesteros J.

We consider the topological classification of finitely determined map germs $f:(\mathbb{R}^n,0)\to (\mathbb{R}^p,0)$ with $f^{-1}(0)\neq \{0\}$. Associated with $f$ we have a link diagram, which is well defined up to topological equivalence. We prove that $f$ is topologically $\mathcal{A}$-equivalent to the generalized cone of its link diagram.

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