所有不可数正则基数在HOD中均可不可达
逻辑
2016-08-03 v1
摘要
假设存在一个超紧基数及其上一个不可达基数，我们构造了一个ZFC的模型，其中所有不可数正则基数在HOD中均不可达。
引用
@article{arxiv.1608.00732,
title = {All uncountable regular cardinals can be inaccessible in HOD},
author = {Mohammad Golshani},
journal= {arXiv preprint arXiv:1608.00732},
year = {2016}
}
备注
A strengthening of the result of this paper is proved by Gitik-Merimovich in "Some applications of Supercompact Extender Based Forcings to HOD " , where they produced a model in which all uncountable regular cardinals are measurable in HOD. arXiv admin note: text overlap with arXiv:1511.04598 by other authors