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

Fuente: arXiv
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Autore principale: Hoffelner, Stefan
Natura: Preprint
Pubblicazione: 2026
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author Hoffelner, Stefan
author_facet Hoffelner, Stefan
contents We construct a generic extension of $L$ satisfying Martin's Axiom, $2^{\aleph_0}=\aleph_3$, a lightface $Δ^1_3$ wellorder of the reals, and $Σ^1_n$-uniformization for every $n\geq 2$ simultaneously.
format Preprint
id arxiv_https___arxiv_org_abs_2605_21189
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Martin's Axiom, Large Continuum and Global $Σ^1_n$-Uniformization
Hoffelner, Stefan
Logic
03E35, 03E45
We construct a generic extension of $L$ satisfying Martin's Axiom, $2^{\aleph_0}=\aleph_3$, a lightface $Δ^1_3$ wellorder of the reals, and $Σ^1_n$-uniformization for every $n\geq 2$ simultaneously.
title Martin's Axiom, Large Continuum and Global $Σ^1_n$-Uniformization
topic Logic
03E35, 03E45
url https://arxiv.org/abs/2605.21189