Robustly transitive maps with critical points and large dimensional central spaces
Resumen:
Given any triplet of positive integers n ≥ 2, m and k such that n = m + k, we exhibit a C1 robustly transitive endomorphism of Tn with persistent critical points in the isotopy class of F ×Id, where F is an expanding map of Tm and Id is the identity of Tk. Furthermore, if k is small, the map is not only in the isotopy class but in fact a perturbation of F × Id.
| 2026 | |
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Transitivity Stability Robustness High dimension Central space |
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| Inglés | |
| Universidad de la República | |
| COLIBRI | |
| https://hdl.handle.net/20.500.12008/54929 | |
| Acceso abierto | |
| Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0) |
