1Kurt Gödel Research Center University of Vienna Währinger Strasse 25 Wien, Austria 2Department of Mathematics and Statistics P.O. Box 68 (Gustaf Hällströmin katu 2b) FI-00014 University of Helsinki, Finland
Fundamenta Mathematicae, Tome 231 (2015) no. 3, pp. 285-298
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.
Keywords:
study borel reducibility borel equivalence relations generalized baire space kappa kappa uncountable kappa kappa kappa kappa theory looks quite different its classical counterpart where kappa omega although basic theorems generalize
1
Kurt Gödel Research Center University of Vienna Währinger Strasse 25 Wien, Austria
2
Department of Mathematics and Statistics P.O. Box 68 (Gustaf Hällströmin katu 2b) FI-00014 University of Helsinki, Finland
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Sy-David Friedman; Tapani Hyttinen; Vadim Kulikov. On Borel reducibility in generalized Baire space. Fundamenta Mathematicae, Tome 231 (2015) no. 3, pp. 285-298. doi: 10.4064/fm231-3-4
