A persistently singular map of ${\mathbb{T}}^n$ that is $C^1$ robustly transitive

Abstract

Consider the set $E$ of endomorphisms of the n-torus endowed with the $C^1$ topology. A point in $E$ that is persistently singular and robustly transitive is exhibited.

A series of typos was corrected. The proof of what was Theorem 3.1 was split into a series of Lemmas which provide transparecy to the arguments

References in corpus (2)

• Topological obstructions for robustly transitive endomorphisms on surfaces
• New classes of $C^1$ robustly transitive maps with persistent critical points