Forcing axioms and the uniformization-property

IF 0.6 2区数学 Q2 LOGIC

Annals of Pure and Applied Logic Pub Date : 2024-05-29 DOI:10.1016/j.apal.2024.103466

Stefan Hoffelner

引用次数: 0

Abstract

We show that there are models of ${MA}_{ω_{1}}$ where the $Σ_{3}^{1}$ -uniformization property holds. Further we show that “ $BPFA$ + $ℵ_{1}$ is not inaccessible to reals” outright implies that the $Σ_{3}^{1}$ -uniformization property is true.

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强制公理和统一化属性

我们证明，存在Σ31-均匀化性质成立的 MAω1 模型。此外，我们还证明 "BPFA+ ℵ1 并非不可访问的实数 "完全意味着 Σ31-uniformization 属性为真。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annals of Pure and Applied Logic 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

200 days

期刊介绍： The journal Annals of Pure and Applied Logic publishes high quality papers in all areas of mathematical logic as well as applications of logic in mathematics, in theoretical computer science and in other related disciplines. All submissions to the journal should be mathematically correct, well written (preferably in English)and contain relevant new results that are of significant interest to a substantial number of logicians. The journal also considers submissions that are somewhat too long to be published by other journals while being too short to form a separate memoir provided that they are of particular outstanding quality and broad interest. In addition, Annals of Pure and Applied Logic occasionally publishes special issues of selected papers from well-chosen conferences in pure and applied logic.