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arXiv · 2412.01315

Hyperfiniteness on Topological Ramsey Spaces

Balázs Bursics·Zoltán Vidnyánszky
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Abstract

We investigate the behavior of countable Borel equivalence relations (CBERs) on topological Ramsey spaces. First, we give a simple proof of the fact that every CBER on $[\mathbb{N}]^{\mathbb{N}}$ is hyperfinite on some set of the form $[A]^{\mathbb{N}}$. Using the idea behind the proof, we show the analogous result for every topological Ramsey space.

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BibTeXRIS

Balázs Bursics, Zoltán Vidnyánszky. 2024-12-02. Hyperfiniteness on Topological Ramsey Spaces. https://doi.org/10.1016/j.apal.2025.103715

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