TREEABLE EQUIVALENCE RELATIONS
Source TitleJOURNAL OF MATHEMATICAL LOGIC
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
University of Melbourne Author/sHJORTH, GREG
AffiliationMathematics And Statistics
Document TypeJournal Article
CitationsHjorth, G. (2012). TREEABLE EQUIVALENCE RELATIONS. JOURNAL OF MATHEMATICAL LOGIC, 12 (1), https://doi.org/10.1142/S0219061312500031.
Access StatusThis item is currently not available from this repository
C1 - Journal Articles Refereed
<jats:p> There are continuum many ≤<jats:sub>B</jats:sub>-incomparable equivalence relations induced by a free, Borel action of a countable non-abelian free group — and hence, there are 2<jats:sup>α<jats:sub>0</jats:sub></jats:sup> many treeable countable Borel equivalence relations which are incomparable in the ordering of Borel reducibility. </jats:p>
KeywordsMathematical Logic; Set Theory; Lattices and Universal Algebra; Expanding Knowledge in the Mathematical Sciences
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