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A note on surjective endomorphisms of Smale spaces
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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BibTeX
@misc{ceccherinisilberstein2026note,
title = {{A note on surjective endomorphisms of Smale spaces}},
author = {Tullio Ceccherini-Silberstein and Michel Coornaert},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.41794},
eprint = {2610.41794},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.41794},
}
RIS
TY - UNPB
TI - A note on surjective endomorphisms of Smale spaces
AU - Tullio Ceccherini-Silberstein
AU - Michel Coornaert
PY - 2026
DA - 2026/10/30
PB - arXiv
DO - 10.48550/arxiv.2610.41794
UR - https://arxiv.org/abs/2610.41794
AB - 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.
ER -