| Texto completo | |
| Autor(es): |
Dutertre, N.
[1]
;
Araujo dos Santos, R. N.
[2]
;
Chen, Ying
[2]
;
do Espirito Santo, Antonio Andrade
[3]
Número total de Autores: 4
|
| Afiliação do(s) autor(es): | [1] Aix Marseille Univ, CNRS, Cent Marseille, I2M, UMR 7373, F-13453 Marseille - France
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil
[3] Univ Fed Reconcavo Bahia, Ctr Ciencias Exatas & Tecnol, BR-44380000 Cruz Das Almas, BA - Brazil
Número total de Afiliações: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | MANUSCRIPTA MATHEMATICA; v. 149, n. 1-2, p. 205-222, JAN 2016. |
| Citações Web of Science: | 1 |
| Resumo | |
Given a C (2) semi-algebraic mapping , we consider its restriction to an embedded closed semi-algebraic manifold of dimension and introduce sufficient conditions for the existence of a fibration structure (generalized open book structure) induced by the projection . Moreover, we show that the well known local and global Milnor fibrations, in the real and complex settings, follow as a byproduct by considering W as spheres of small and big radii, respectively. Furthermore, we consider the composition mapping of F with the canonical projection and prove that the fibers of and are homotopy equivalent. We also show several formulae relating the Euler characteristics of the fiber of the projection and . Similar formulae are proved for mappings obtained after composition of F with canonical projections. (AU) | |
| Processo FAPESP: | 12/18957-7 - Estudo de singularidades de polinômios mistos |
| Beneficiário: | Ying Chen |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |
| Processo FAPESP: | 13/23443-5 - Topologia das fibras de aplicações polinomiais reais e complexas: aspectos local e global (no infinito) |
| Beneficiário: | Raimundo Nonato Araújo dos Santos |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |