Topological bi-K-equivalence of pairs of map germs

Artículos de revistas

Fecha

2018-01-01

Registro en:

Hokkaido Mathematical Journal, v. 47, n. 3, p. 545-556, 2018.

0385-4035

http://hdl.handle.net/11449/189916

10.14492/hokmj/1537948830

2-s2.0-85057160792

https://repositorioslatinoamericanos.uchile.cl/handle/2250/5370954

Autor

Universidade Federal do Ceará (UFC)

Universidade Estadual Paulista (Unesp)

Universidade Estadual Vale do Acaraú. (UVA)

Institución

Universidade Estadual Paulista (Brasil)

Resumen

Let Pk(n, p × q) be the set of all pairs of real polynomial map germs (f, g): (ℝn; 0) → (ℝp × ℝq; 0) with degree of f1, . . ., fp, g1, . . ., gq less than or equal to k 2 N. The main result of this paper shows that the set of equivalence classes of Pk(n, p × q), with respect to bi-C0-K-equivalence, is finite.

Materias

Finiteness theorem

Pairs of map germs

Topological classification

Topological contact equivalence

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