Robust transitivity and domination for endomorphisms displaying critical points
Resumen:
We show that robustly transitive endomorphisms of a closed manifolds must have a non-trivial dominated splitting or be a local diffeomorphism. This allows to get some topological obstructions for the existence of robustly transitive endomorphisms. To obtain the result we must understand the structure of the kernel of the differential and the recurrence to the critical set of the endomorphism after perturbation.
| 2023 | |
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MATHEMATICS - DYNAMICAL SYSTEMS ENDOMORPHISM CRITICAL POINTS DOMINATED SPLITTING ROBUST TRANSITIVITY |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/44886 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
| Sumario: | Versión permitida preprint. |
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