Ramsey性质与高维极大几乎不相交族
逻辑
2024-12-04 v3
摘要
我们证明，在Ramsey正则性原理下，关于超限迭代Fréchet理想不存在无穷极大几乎不相交族。本文的结果由作者在美国国家科学院院刊中已宣布。
引用
@article{arxiv.2003.10944,
title = {The Ramsey property and higher dimensional mad families},
author = {David Schrittesser and Asger Törnquist},
journal= {arXiv preprint arXiv:2003.10944},
year = {2024}
}
备注
30 pages. Several previously glossed over proof steps in Section 4 have been made explicit, making the proof easier to follow. The material contained in Section 5 of the previous version will appear separately