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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

An equivalence relation that is not freely generated


Author: Scot Adams
Journal: Proc. Amer. Math. Soc. 102 (1988), 565-566
MSC: Primary 28D15; Secondary 28C10
MathSciNet review: 928981
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Abstract: In this paper it is shown that there exists a Borel equivalence relation with countable equivalence classes that is not generated by a free Borel action of a countable discrete group.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0928981-2
PII: S 0002-9939(1988)0928981-2
Keywords: Borel equivalence relation, measurable equivalence relation, amenable equivalence relation
Article copyright: © Copyright 1988 American Mathematical Society