A persistently singular map of $\mathbb{T}^n$ that is $C^2$ robustly transitive but is not $C^1$ robustly transitive
Dynamical Systems
2021-06-22 v1
Abstract
Let be the set of endomorphisms of the -torus. We exhibit an example of a map such that is robustly transitive if is endowed with the topology but is not robustly transitive if is endowed with the topology.
Keywords
Cite
@article{arxiv.2104.00991,
title = {A persistently singular map of $\mathbb{T}^n$ that is $C^2$ robustly transitive but is not $C^1$ robustly transitive},
author = {Juan C. Morelli Ramírez},
journal= {arXiv preprint arXiv:2104.00991},
year = {2021}
}