Madness and regularity properties

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 $\mathbb{Q}$.

References in corpus (1)

• Can you take Toernquist's inaccessible away?

Cited by in corpus (1)

• The Ramsey property implies no mad families