A persistently singular map of Tn that is C2 robustly transitive but is not C1 robustly transitive

Morelli, Juan Carlos

Resumen:

Let E be the set of endomorphisms defined on the n-torus. We exhibit an example of a map in E that is robustly transitive if E is endowed with the C2 topology but is not robustly transitive if E is endowed with the C1 topology.

Detalles Bibliográficos
2021
Este trabajo fue financiado parcialmente por ANII de Uruguay.
Transitivity
Singularity
Critical
Generical
Stable
High dimension
Inglés
Universidad de la República
COLIBRI
https://hdl.handle.net/20.500.12008/54920
Acceso abierto
Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)