Borel equivalence relations which are highly unfree

There is an ergodic, measure preserving, countable Borel equivalence relation E on a standard Borel probability space (X, µ) such that E\c is not essentially free on any conull C ⊂ X.

Saved in:
Bibliographic Details
Published in:The Journal of symbolic logic 2008-12, Vol.73 (4), p.1271-1277
Main Author: Hjorth, Greg
Format: Article
Language:English
Subjects:
03E15
28D15
37A15
Borel equivalence relations
Borel reducibility
Equivalence relation
Ergodic theory
free group actions
Homomorphisms
Logical theorems
Mathematical logic
Mathematical theorems
Probabilities
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:There is an ergodic, measure preserving, countable Borel equivalence relation E on a standard Borel probability space (X, µ) such that E\c is not essentially free on any conull C ⊂ X.
ISSN:0022-4812
1943-5886
DOI:10.2178/jsl/1230396917