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Abraham–Rubin–Shelah open colorings and a large continuum

Abraham–Rubin–Shelah open colorings and a large continuum

We show that the Abraham–Rubin–Shelah Open Coloring Axiom is consistent with a large continuum, in particular, consistent with [Formula: see text]. This answers one of the main open questions from [U. Abraham, M. Rubin and S. Shelah, On the consistency of some partition theorems for continuous colorings, and the structure …