TREEABLE EQUIVALENCE RELATIONS
Author
Hjorth, GDate
2012-06-01Source Title
JOURNAL OF MATHEMATICAL LOGICPublisher
WORLD SCIENTIFIC PUBL CO PTE LTDUniversity of Melbourne Author/s
HJORTH, GREGAffiliation
Mathematics And StatisticsMetadata
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Journal ArticleCitations
Hjorth, G. (2012). TREEABLE EQUIVALENCE RELATIONS. JOURNAL OF MATHEMATICAL LOGIC, 12 (1), https://doi.org/10.1142/S0219061312500031.Access Status
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C1 - Journal Articles Refereed
Abstract
<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>
Keywords
Mathematical Logic; Set Theory; Lattices and Universal Algebra; Expanding Knowledge in the Mathematical SciencesExport Reference in RIS Format
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