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

 

Finite unions of equivalence relations


Author: John Kittrell
Journal: Proc. Amer. Math. Soc. 136 (2008), 3669-3673
MSC (2000): Primary 03E15; Secondary 03E20
Published electronically: May 19, 2008
MathSciNet review: 2415053
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Abstract: Say that a class of equivalence relations $ \mathcal{C}$ has the finite union property if every equivalence relation that is the union of finitely many members of $ \mathcal{C}$ must itself be a member of $ \mathcal{C}$. Then the classes of hyperfinite, measure-amenable, Fréchet-amenable, and cheap equivalence relations have the finite union property.


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Additional Information

John Kittrell
Affiliation: Knightsbridge Asset Management, LLC, Suite 460, 660 Newport Center Drive, Newport Beach, California 92660
Email: jw.kittrell@gmail.com

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09348-9
PII: S 0002-9939(08)09348-9
Keywords: Countable Borel equivalence relations, hyperfinite equivalence relations, union problems
Received by editor(s): March 26, 2007
Received by editor(s) in revised form: September 12, 2007
Published electronically: May 19, 2008
Communicated by: Julia Knight
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.