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On Borel reducibility in generalized Baire space

Sy-David Friedman; Tapani Hyttinen; Vadim Kulikov — 2015

Fundamenta Mathematicae

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

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