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math.LO2024
Hyperfiniteness on Topological Ramsey Spaces
Balázs Bursics, Zoltán Vidnyánszky
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}…
math.LO2023
A coloring of the plane without monochromatic right triangles
Balázs Bursics, Péter Komjáth
We give a full, correct proof of the following result, earlier claimed by Erdős and Komjáth. If the Continuum Hypothesis holds then there is a coloring of the plane with countably…