Invariants of real singularities, pairs of germs and classification problems
New Frontiers in Singularity Theory and Bi-Lipschitz Geometry of Semialgebraic Set...
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Author(s): |
Total Authors: 3
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Affiliation: | [1] Univ Fed Ceara, Dept Matemat, BR-60455760 Fortaleza, Ceara - Brazil
[2] UNESP, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, SP - Brazil
Total Affiliations: 2
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Document type: | Journal article |
Source: | HOKKAIDO MATHEMATICAL JOURNAL; v. 38, n. 3, p. 511-517, AUG 2009. |
Web of Science Citations: | 5 |
Abstract | |
Let p(k) (n, 2) be the set of all real polynornial map germs f = (f(1), f(2)) : (R(n), 0) -> (R(2), 0) with degree of f(1), f(2) <= k. The main result of this paper shows that the set of equivalence classes of p(k) (n, 2), with respect to topological contact equivalence, is finite. (AU) | |
FAPESP's process: | 07/01274-6 - Bi-Lipschitz contact equivalence of smooth map-germs |
Grantee: | João Carlos Ferreira Costa |
Support Opportunities: | Regular Research Grants |