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arXiv · 1408.4304

On Borel Reducibility in Generalised Baire Space

Sy-David Friedman·Tapani Hyttinen·Vadim Kulikov
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Abstract

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.

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Sy-David Friedman, Tapani Hyttinen, Vadim Kulikov. 2014-08-19. On Borel Reducibility in Generalised Baire Space. https://arxiv.org/abs/1408.4304

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