The Jensen covering property
逻辑
2016-09-07 v1
摘要
An optimal extension of the Jensen covering lemma, within the limits imposed by Prikry forcing, is proved. If L[E] is an "iterable" weasel with no measurable cardinals, then either L[E] has "indiscernibles", or every uncountable set of ordinals is contained in a set in L[E] of the same cardinality. (The terms "iterable" and "indiscernibles" are made precise in the paper.) Most importantly, there is no hypothesis explicitly limiting the large cardinals which are consistent in L[E].
引用
@article{arxiv.math/9702208,
title = {The Jensen covering property},
author = {Ernest Schimmerling and W. Hugh Woodin},
journal= {arXiv preprint arXiv:math/9702208},
year = {2016}
}