The Linearity of the Mitchell Order
Logic
2017-07-05 v2
Abstract
We show from a weak comparison principle (the Ultrapower Axiom) that the Mitchell order is linear on certain kinds of ultrafilters: normal ultrafilters, Dodd solid ultrafilters, and assuming GCH, generalized normal ultrafilters. In the process we prove a generalization of Solovay's lemma to singular cardinals.
Keywords
Cite
@article{arxiv.1706.07141,
title = {The Linearity of the Mitchell Order},
author = {Gabriel Goldberg},
journal= {arXiv preprint arXiv:1706.07141},
year = {2017}
}