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arXiv · 1704.08327

Madness and regularity properties

Haim Horowitz·Saharon Shelah
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Abstract

Starting from an inaccessible cardinal, we construct a model of $ZF+DC$ where there exists a mad family and all sets of reals are $\mathbb Q$-measurable for $\omega^{\omega}$-bounding sufficiently absolute forcing notions $\mathbb Q$.

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Haim Horowitz, Saharon Shelah. 2017-04-26. Madness and regularity properties. https://arxiv.org/abs/1704.08327

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