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arXiv · 2605.21189

Martin's Axiom, Large Continuum and Global $\Sigma^1_n$-Uniformization

Stefan Hoffelner
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Abstract

We construct a generic extension of $L$ satisfying Martin's Axiom, $2^{\aleph_0}=\aleph_3$, a lightface $\Delta^1_3$ wellorder of the reals, and $\Sigma^1_n$-uniformization for every $n\geq 2$ simultaneously.

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Stefan Hoffelner. 2026-05-20. Martin's Axiom, Large Continuum and Global $\Sigma^1_n$-Uniformization. https://arxiv.org/abs/2605.21189

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