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math.LO2019
Abraham-Rubin-Shelah Open Colorings and a Large Continuum
Thomas Gilton, Itay Neeman
We show that the Abraham-Rubin-Shelah Open Coloring Axiom is consistent with a large continuum, in particular, consistent with . This answers one of the main…
math.LO2019
A note on the eightfold way
Thomas Gilton, John Krueger
Assuming the existence of a Mahlo cardinal, we construct a model in which there exists an -Aronszajn tree, the -approachability property fails, and every stationary subse…