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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

The Cone Structure Theorem

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Boizan Batista, Erica [1] ; Ferreira Costa, Joao Carlos [2] ; Jose Nuno-Ballesteros, Juan [3]
Total Authors: 3
[1] Univ Fed Cariri, Ctr Ciencias & Tecnol, BR-63048080 Juazeiro Do Norte, Ceara - Brazil
[2] Univ Estadual Paulista, Inst Biociencias Letras & Ciencias Exatas, UNESP, Campus Sao Jose do Rio Preto, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
[3] Univ Valencia, Dept Matemat, Campus Burjassot, Valencia 46100 - Spain
Total Affiliations: 3
Document type: Journal article
Source: INTERNATIONAL MATHEMATICS RESEARCH NOTICES; v. 2021, n. 13, p. 9786-9801, JUL 2021.
Web of Science Citations: 0

We consider the topological classification of finitely determined map germs f : (R-n, 0) -> (R-p, 0) with f(-1)(0) not equal [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. (AU)

FAPESP's process: 18/25157-3 - Invariants of real singularities, pairs of germs and classification problems
Grantee:João Carlos Ferreira Costa
Support type: Regular Research Grants