Consistency of square bracket partition relation
Logic
2026-01-07 v1
Abstract
Characteristic earlier results were of the form CON, with an ex-large cardinal, in the best case the first weakly Mahlo cardinal. Characteristic new results are CON, for suitable . So we improve in three respects: the continuum may be small (e.g. not a weakly Mahlo), we use no large cardinal, and the cardinals involved are after the forcing.
Keywords
Cite
@article{arxiv.2601.02923,
title = {Consistency of square bracket partition relation},
author = {Saharon Shelah},
journal= {arXiv preprint arXiv:2601.02923},
year = {2026}
}
Comments
14 pages