An example of a map which is $C^2$-robustly transitive but not $C^1$-robustly transitive
Volume 152 / 2018
Colloquium Mathematicum 152 (2018), 285-297
MSC: Primary 37D20; Secondary 37D30.
DOI: 10.4064/cm7131-5-2017
Published online: 9 March 2018
Abstract
We exhibit an example of an endomorphism of $\mathbb {T}^{2}$ which is $C^2$-robustly transitive but not $C^1$-robustly transitive.