Incompatibility of generic hugeness principles
Logic
2023-03-27 v3
Abstract
We show that the weakest versions of Foreman's minimal generic hugeness axioms cannot hold simultaneously on adjacent cardinals. Moreover, conventional forcing techniques cannot produce a model of one of these axioms.
Keywords
Cite
@article{arxiv.2102.11080,
title = {Incompatibility of generic hugeness principles},
author = {Monroe Eskew},
journal= {arXiv preprint arXiv:2102.11080},
year = {2023}
}