FORCING CONSTRUCTIONS AND COUNTABLE BOREL EQUIVALENCE RELATIONS-Reference-Cited by-同舟云学术

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FORCING CONSTRUCTIONS AND COUNTABLE BOREL EQUIVALENCE RELATIONS

Published:2022-03-14 Issue:3 Volume:87 Page:873-893
ISSN:0022-4812
Container-title:The Journal of Symbolic Logic
language:en
Short-container-title:J. symb. log.

Author:

GAO SU,JACKSON STEVE,KROHNE EDWARD,SEWARD BRANDON

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference17 articles.

1. A bound on measurable chromatic numbers of locally finite Borel graphs

2. Distance from marker sequences in locally finite Borel graphs

3. [14] Schneider, S. and Seward, B. , Locally nilpotent groups and hyperfinite equivalence relations, preprint, 2013, arXiv:1308.5853.

4. A determinacy approach to Borel combinatorics

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2. Borel asymptotic dimension and hyperfinite equivalence relations;Duke Mathematical Journal;2023-11-01

3. Katok’s special representation theorem for multidimensional Borel flows;Ergodic Theory and Dynamical Systems;2023-10-23

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