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Borel equivalence relations which are highly unfree

Published online by Cambridge University Press:  12 March 2014

Greg Hjorth
Greg Hjorth*
Affiliation:
Department of Mathematics and Statistics, University of Melbourne, Parkville 3010 Victoria, Australia, E-mail: greg.hjorth@gmail.com, URL: http://www.math.ucla.edu/~greg/
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Abstract

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.

Keywords

Ergodic theoryBorel equivalence relationsfree group actionsBorel reducibility
Type
Research Article
Information
The Journal of Symbolic Logic , Volume 73 , Issue 4 , December 2008 , pp. 1271 - 1277
Copyright
Copyright © Association for Symbolic Logic 2008

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References

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