Geodesic
On Borel reducibility in generalized Baire space
Sy-David Friedman 1   ; Tapani Hyttinen 2   ; Vadim Kulikov 1
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
Fundamenta Mathematicae, Tome 231 (2015) no. 3, pp. 285-298 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm231-3-4
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

Sy-David Friedman  1   ; Tapani Hyttinen  2   ; Vadim Kulikov  1

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

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