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arXiv · 2606.15544

On Non-Wandering Sets with Non-empty Interior for Endomorphisms

J. Santana C. Costa·F. Micena
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Abstract

In this paper, we study transitivity for endomorphisms. Our results are related to a conjecture of F. Abdenur, C. Bonatti and L. D\'iaz, concerning the relationship between transitivity and the existence of a non-wandering set with nonempty interior. We obtain transitivity under the assumption that there exists a hyperbolic non-wandering set with non-empty interior, and in the setting of accessible partially hyperbolic endomorphisms.

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J. Santana C. Costa, F. Micena. 2026-06-14. On Non-Wandering Sets with Non-empty Interior for Endomorphisms. https://arxiv.org/abs/2606.15544

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