Fodor's lemma can fail everywhere
Logic
2018-05-15 v3
Abstract
We show that it is equiconsistent with that Fodor's lemma fails everywhere, and furthermore that the club filter on every regular cardinal is not even -complete. Moreover, these failures can be controlled in a very precise manner.
Cite
@article{arxiv.1610.03985,
title = {Fodor's lemma can fail everywhere},
author = {Asaf Karagila},
journal= {arXiv preprint arXiv:1610.03985},
year = {2018}
}
Comments
Rev 3: Minor improvements. 10 pages