Open Colorings and Baumgartner's Axiom
Logic
2026-01-06 v1
Abstract
We construct a model of where Baumgartner's Axiom fails, settling a question of Farah. Moreover, in the same model there is an -dense set of reals which is neither reversible nor increasing, answering a question of Marun, Shelah, and Switzer.
Keywords
Cite
@article{arxiv.2601.01166,
title = {Open Colorings and Baumgartner's Axiom},
author = {Lorenzo Notaro},
journal= {arXiv preprint arXiv:2601.01166},
year = {2026}
}
Comments
14 pages