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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… Click to show full abstract
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.
Keywords:
cone;
cone structure;
structure theorem
Journal Title: International Mathematics Research Notices
Year Published: 2020
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Journal Title: International Mathematics Research Notices
Year Published: 2020
Link to full text (if available)
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recommendations!