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arXiv · 2506.09261

Chains without regularity

Alessandro Della Corte·Marco Farotti
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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.

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Alessandro Della Corte, Marco Farotti. 2025-06-10. Chains without regularity. https://arxiv.org/abs/2506.09261

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