马丁公理与弱库尔帕假设
逻辑
2024-11-12 v2
摘要
我展示了在马洛 cardinal 一致性相对下,可以构造模型使得马丁公理在 上成立,但弱库尔帕假设不成立。这解决了Honzik、Lambie-Hanson和Stejskalová提出的问题。该一致性结果通过构造模型实现,该模型中弱库尔帕假设在任何c.c.c.强制扩展中均不成立。
引用
@article{arxiv.2411.04835,
title = {Martin's Axiom and Weak Kurepa Hypothesis},
author = {Rahman Mohammadpour},
journal= {arXiv preprint arXiv:2411.04835},
year = {2024}
}
备注
It is withdrawn due to a gap in the proof of the main theorem which was pointed out by John Krueger, to whom the author is grateful