On Borel Reducibility in Generalised Baire Space

2014/08/19 by Sy-David Friedman, Friedman, Sy-David, Tapani Hyttinen +3
Mathematics · #03E15 #03E35 #FOS: Mathematics #Logic (math.LO) #math.LO #msc:03E15 #msc:03E35

paper · pdf · doi:10.48550/arxiv.1408.4304

arxiv created 2014/08/19 · arxiv updated 2014/08/20

Abstract

In this paper we study the Borel reducibility of Borel equivalence relations, including some orbit equivalence relations, on the generalised Baire space κ^κ for an uncountable κ with the property κ^<κ=κ. The theory looks quite different from its classical counterpart where κ=ω, although some basic theorems do generalise.

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