English

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

Logic 2026-05-21 v1

Abstract

We construct a generic extension of LL satisfying Martin's Axiom, 20=32^{\aleph_0}=\aleph_3, a lightface Δ31\Delta^1_3 wellorder of the reals, and Σn1\Sigma^1_n-uniformization for every n2n\geq 2 simultaneously.

Keywords

Cite

@article{arxiv.2605.21189,
  title  = {Martin's Axiom, Large Continuum and Global $\Sigma^1_n$-Uniformization},
  author = {Stefan Hoffelner},
  journal= {arXiv preprint arXiv:2605.21189},
  year   = {2026}
}