Robust transitivity for endomorphisms admitting critical points
Resumen:
We address the problem of giving necessary and sufficient conditions in order to have robustly transitive endomorphisms admitting persistent critical sets. We exhibit different type of open examples of robustly transitive maps in any isotopic class of endomorphisms acting on the two dimensional torus admitting persistent critical points. We also provide some necessary condition for robust transitivity in this setting.
| 2015 | |
|
Robustly transitive endomorphisms Critical set |
|
| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/54827 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
Resultados similares
-
Robust transitivity and domination for endomorphisms displaying critical points
Autor(es):: Lizana Araneda, Cristina
Fecha de publicación:: (2023) -
Robustly transitive maps with critical points and large dimensional central spaces
Autor(es):: Morelli, Juan Carlos
Fecha de publicación:: (2026) -
High dimensional robustly singular maps that are C1 robustly transitive
Autor(es):: Morelli, Juan Carlos
Fecha de publicación:: (2021) -
C1 stability of endomorphisms on two dimensional manifolds
Autor(es):: Iglesias, Jorge
Fecha de publicación:: (2017) -
A persistently singular map of Tn that is C1 robustly transitive
Autor(es):: Morelli, Juan Carlos
Fecha de publicación:: (2021)