The Cone Structure Theorem
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2021-07-01
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Batista, Erica Boizan
Costa, João Carlos Ferreira [UNESP]
Nuño-Ballesteros, Juan José
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We consider the topological classification of finitely determined map germs f: (Rn, 0) → (Rp, 0) with f-1(0) = {0}. Associated with f we have a link diagram, which is well defined up to topological equivalence. We prove that f is topologically A-equivalent to the generalized cone of its link diagram.
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International Mathematics Research Notices, v. 2021, n. 13, p. 9786-9801, 2021.