Strong ergodicity phenomena for Bernoulli shifts of bounded algebraic dimension

DOI10.1016/j.apal.2024.103412arXiv2105.04989OpenAlexW3160539835WikidataQ128886481 ScholiaQ128886481MaRDI QIDQ6151817

Assaf Shani, Aristotelis Panagiotopoulos

Publication date: 11 March 2024

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.04989

zbMATH Keywords

Bernoulli shiftalgebraic dimensionsymmetric modelsBorel reductionsbasic Cohen modelpinned cardinality

Mathematics Subject Classification ID

Descriptive set theory (03E15) General theory for infinite permutation groups (20B07) Applications of set theory (03E75) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Other aspects of forcing and Boolean-valued models (03E40)

Cites Work

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• Borel complexity and potential canonical Scott sentences
• The structure of random automorphisms of countable structures
• DISJOINT AMALGAMATION IN LOCALLY FINITE AEC

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