间隙力迫：推广莱维-索洛韦定理
逻辑
2007-05-23 v1
摘要
标志性的莱维-索洛韦定理限制了在小力迫扩张中能够存在的那种大基数嵌入的种类。在此我宣布将该定理推广到一类广泛的新力迫概念。其中一个推论是，大基数文献中最常见的许多力迫迭代不产生新的弱紧基数、可测基数、强基数、伍丁基数、强紧基数、超紧基数、几乎巨大基数、巨大基数，等等。
引用
@article{arxiv.math/9901108,
title = {Gap forcing: generalizing the Levy-Solovay theorem},
author = {Joel David Hamkins},
journal= {arXiv preprint arXiv:math/9901108},
year = {2007}
}
备注
10 pages. The full technical details of the theorem announced in the this paper can be found in math.LO/9808011. The author's home page is at http://www.math.csi.cuny.edu/~hamkins