Chains without regularity
Dynamical Systems
2026-02-10 v6
Abstract
We study chain-recurrence and chain-transitivity in compact dynamical systems without any regularity assumptions on the map. We prove that every compact system has a chain-recurrent point and a closed, invariant, chain-transitive subsystem. The proofs do not rely on the Axiom of Choice.
Cite
@article{arxiv.2506.09261,
title = {Chains without regularity},
author = {Alessandro Della Corte and Marco Farotti},
journal= {arXiv preprint arXiv:2506.09261},
year = {2026}
}