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arXiv · 2001.07977

Forcing Axioms, the Uniformization and the Basis Property

Stefan Hoffelner
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Abstract

We show that there are models of MA where the boldface $\Sigma^1_3$-uniformization property holds. Further we show that BPFA and the assertion $\aleph_1$ is accessible to reals outright implies that the boldface $\Sigma^1_3$-uniformization property is true.

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Stefan Hoffelner. 2020-01-22. Forcing Axioms, the Uniformization and the Basis Property. https://doi.org/10.1016/j.apal.2024.103466

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