Bi-equivalência de aplicações bi-estáveis
The main objective of this work is to set the bi-equivalence between bi-stable mappings, from the equivalences between suitable statifications of M and R2, where M is a two dimensional C∞ manifold. First we insert the concepts of bi-equivalence and bi-stability. We seek the stratifications...
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| Tipo de recurso: | tesis de maestría |
| Estado: | Versión publicada |
| Fecha de publicación: | 1979 |
| País: | Brasil |
| Institución: | Universidade de São Paulo (USP) |
| Repositorio: | Biblioteca Digital de Teses e Dissertações da USP |
| Idioma: | portugués |
| OAI Identifier: | oai:teses.usp.br:tde-20250913-095423 |
| Acceso en línea: | https://teses.usp.br/teses/disponiveis/55/55135/tde-20250913-095423/ |
| Access Level: | acceso abierto |
| Palabra clave: | SINGULARIDADES TOPOLOGIA DIFERENCIAL VARIEDADES ALGÉBRICAS |
| Sumario: | The main objective of this work is to set the bi-equivalence between bi-stable mappings, from the equivalences between suitable statifications of M and R2, where M is a two dimensional C∞ manifold. First we insert the concepts of bi-equivalence and bi-stability. We seek the stratifications determined by a bi-stable map f : M → R2, with f ∈ C∞ (M, R2), and we find "the stratifications mappings which accomplish the equivalence between the stratifications determined by f and g. Finally if f, g ∈ C∈ (M, R2) are bi-stable and proper mappings, and suppose the existence of a diffeomorphism k ∈ C∞ (M, R2), which induces the equivalence between the stratifications defined in R2 by f and g, we seek to show one diffeomorphism h ∈ C∞ (M,M) which accomplish together k, the bi-equivalence between f and g. |
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