On Borel reducibility in generalized Baire space
Volume 231 / 2015
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.
