Topological and almost Borel universality for systems with the weak specification property

David Burguet

doi:10.1017/etds.2019.7

Topological and almost Borel universality for systems with the weak specification property

David Burguet

École Polytechnique

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We show that systems with some specification properties are topologically or almost Borel universal, in the sense that any aperiodic subshift with lower entropy may be topologically or almost Borel embedded. This improves, with elementary tools, previous results of Quas and Soo [Ergodic universality of some topological dynamical systems. Trans. Amer. Math. Soc.368 (2016), 4137-4170].

langue originale	Anglais
Pages (de - à)	2098-2115
Nombre de pages	18
journal	Ergodic Theory and Dynamical Systems
Volume	40
Numéro de publication	8
Les DOIs	https://doi.org/10.1017/etds.2019.7
état	Publié - 1 août 2020

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10.1017/etds.2019.7

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abstract = "We show that systems with some specification properties are topologically or almost Borel universal, in the sense that any aperiodic subshift with lower entropy may be topologically or almost Borel embedded. This improves, with elementary tools, previous results of Quas and Soo [Ergodic universality of some topological dynamical systems. Trans. Amer. Math. Soc.368 (2016), 4137-4170].",

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AB - We show that systems with some specification properties are topologically or almost Borel universal, in the sense that any aperiodic subshift with lower entropy may be topologically or almost Borel embedded. This improves, with elementary tools, previous results of Quas and Soo [Ergodic universality of some topological dynamical systems. Trans. Amer. Math. Soc.368 (2016), 4137-4170].

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DO - 10.1017/etds.2019.7

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Topological and almost Borel universality for systems with the weak specification property

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