A+ CATEGORY SCIENTIFIC UNIT

On Borel reducibility in generalized Baire space

Volume 231 / 2015

Sy-David Friedman, Tapani Hyttinen, Vadim Kulikov Fundamenta Mathematicae 231 (2015), 285-298 MSC: Primary 03E15; Secondary 03C55. DOI: 10.4064/fm231-3-4

Abstract

We study the Borel reducibility of Borel equivalence relations on the generalized Baire space $\kappa ^\kappa $ for an uncountable $\kappa $ with $\kappa ^{<\kappa }=\kappa $. The theory looks quite different from its classical counterpart where $\kappa =\omega $, although some basic theorems do generalize.

Authors

  • Sy-David FriedmanKurt Gödel Research Center
    University of Vienna
    Währinger Strasse 25
    Wien, Austria
    e-mail
  • Tapani HyttinenDepartment of Mathematics and Statistics
    P.O. Box 68 (Gustaf Hällströmin katu 2b)
    FI-00014 University of Helsinki, Finland
    e-mail
  • Vadim KulikovKurt Gödel Research Center
    University of Vienna
    Währinger Strasse 25
    Wien, Austria
    e-mail

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