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 $\mathbb Q$.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2017
- DOI:
- 10.48550/arXiv.1704.08327
- arXiv:
- arXiv:1704.08327
- Bibcode:
- 2017arXiv170408327H
- Keywords:
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- Mathematics - Logic