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On Borel Reducibility in Generalised Baire Space

Logic 2014-08-20 v1

Abstract

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

Cite

@article{arxiv.1408.4304,
  title  = {On Borel Reducibility in Generalised Baire Space},
  author = {Sy-David Friedman and Tapani Hyttinen and Vadim Kulikov},
  journal= {arXiv preprint arXiv:1408.4304},
  year   = {2014}
}
R2 v1 2026-06-22T05:33:19.180Z