Sy-David Friedman, Tapani Hyttinen, Vadim Kulikov
Published 2014-08-19Version 1
In this paper we study the Borel reducibility of Borel equivalence relations, including some orbit equivalence relations, on the generalised Baire space $\kappa^\kappa$ for an uncountable $\kappa$ with the property $\kappa^{<\kappa}=\kappa$. The theory looks quite different from its classical counterpart where $\kappa=\omega$, although some basic theorems do generalise.
Failures of the Silver Dichotomy in the Generalised Baire Space
On $\ell^{p}$-like equivalence relations
Borel reducibility and classification of von Neumann algebras
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