On Borel equivalence relations in generalized Baire space

Archive for Mathematical Logic 51 (3-4):299-304 (2012)
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Abstract

We construct two Borel equivalence relations on the generalized Baire space κκ, κ ω, with the property that neither of them is Borel reducible to the other. A small modification of the construction shows that the straightforward generalization of the Glimm-Effros dichotomy fails.

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