School of Mathematics and Statistics - Research Publications

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Subject: Lattices and Universal Algebra; Expanding Knowledge in the Mathematical Sciences × Subject: Set Theory × Author: HJORTH, GREG × Type: Journal Article ×

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    TREEABLE EQUIVALENCE RELATIONS
    Hjorth, G (WORLD SCIENTIFIC PUBL CO PTE LTD, 2012-06-01)
    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.