Precipitous Towers of Normal Filters
Logic
2016-09-06 v1
Abstract
We prove that every tower of normal filters of height ( supercompact) is precipitous assuming that each normal filter in the tower is the club filter restricted to a stationary set. We give an example to show that this assumption is necessary. We also prove that every normal filter can be generically extended to a well-founded -ultrafilter (assuming large cardinals).
Keywords
Cite
@article{arxiv.math/9503209,
title = {Precipitous Towers of Normal Filters},
author = {Douglas Burke},
journal= {arXiv preprint arXiv:math/9503209},
year = {2016}
}