Treeable equivalence relations

Journal of Mathematical Logic 12 (1):1250003- (2012)
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Abstract

There are continuum many ≤B-incomparable equivalence relations induced by a free, Borel action of a countable non-abelian free group — and hence, there are 2α0 many treeable countable Borel equivalence relations which are incomparable in the ordering of Borel reducibility.

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10.1142/s0219061312500031

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Countable borel equivalence relations.S. Jackson, A. S. Kechris & A. Louveau - 2002 - Journal of Mathematical Logic 2 (01):1-80.
Superrigidity and countable Borel equivalence relations.Simon Thomas - 2003 - Annals of Pure and Applied Logic 120 (1-3):237-262.
A lemma for cost attained.Greg Hjorth - 2006 - Annals of Pure and Applied Logic 143 (1-3):87-102.

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