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| Título: | C1 stability of endomorphisms on two dimensional manifolds |
| Autor: | Iglesias, Jorge Portela, Aldo Rovella, Álvaro |
| Tipo: | Preprint |
| Palabras clave: | Endomorphisms, Stability, Dynamical Systems |
| Fecha de publicación: | 2017 |
| Resumen: | A set of necessary conditions for C1 stability of noninvertible maps is presented. It is proved that the conditions are sufficient for C1 stability in compact oriented manifolds of dimension two. An example given by F.Przytycki in 1977 is shown to satisfy these conditions. It is the first example known of a C1 stable map (noninvertible and nonexpanding) in a manifold of dimension two, while a wide class of examples are already known in every other dimension. |
| Citación: | Iglesias, J., Portela, A. y Rovella, Á. C1 stability of endomorphisms on two dimensional manifolds [Preprint]. Publicado en : arXiv:1712.08114v1 [math.DS], 2017, pp. 1-20. DOI: 10.48550/arXiv.1712.08114. https://arxiv.org/abs/1712.08114. |
| Licencia: | Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| Aparece en las colecciones: | Publicaciones académicas y científicas - IMERL (Instituto de Matemática y Estadística Rafael Laguardia) |
Ficheros en este ítem:
| Fichero | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| IPR17.pdf | Preprint | 249,41 kB | Adobe PDF | Visualizar/Abrir |
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