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arXiv · 1801.00529

The Harrington-Shelah Model with Large Continuum

Thomas Gilton·John Krueger
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Abstract

We prove from the existence of a Mahlo cardinal the consistency of the statement that $2^ω= ω_3$ holds and every stationary subset of $ω_2 \cap \mathrm{cof}(ω)$ reflects to an ordinal less than $ω_2$ with cofinality $ω_1$.

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Thomas Gilton, John Krueger. 2019-07-21. The Harrington-Shelah Model with Large Continuum. https://doi.org/10.1017/jsl.2018.74

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