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Forcing Constructions and Countable Borel Equivalence Relations
Journal of Symbolic Logic 87 (3):873-893 (2022)
Abstract
We prove a number of results about countable Borel equivalence relations with forcing constructions and arguments. These results reveal hidden regularity properties of Borel complete sections on certain orbits. As consequences they imply the nonexistence of Borel complete sections with certain features.Other Versions
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References found in this work
Martin’s conjecture and strong ergodicity.Simon Thomas - 2009 - Archive for Mathematical Logic 48 (8):749-759.
Uniformity, universality, and computability theory.Andrew S. Marks - 2017 - Journal of Mathematical Logic 17 (1):1750003.
Borel structurability on the 2-shift of a countable group.Brandon Seward & Robin D. Tucker-Drob - 2016 - Annals of Pure and Applied Logic 167 (1):1-21.
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