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arXiv · 2610.41794

A note on surjective endomorphisms of Smale spaces

Tullio Ceccherini-Silberstein·Michel Coornaert
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Abstract

We give conditions that are all equivalent to surjectivity for endomorphisms of irreducible Smale spaces. This extends results previously obtained by Hedlund~\cite{hedlund-endomorphisms} for full shifts, by Coven and Paul and by Lind and Marcus for irreducible subshifts of finite type.

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Tullio Ceccherini-Silberstein, Michel Coornaert. 2026-10-30. A note on surjective endomorphisms of Smale spaces. https://arxiv.org/abs/2610.41794

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