Split Principles
Logic
2024-11-26 v3
Abstract
We introduce the split principles and show that they bear tight connections to large cardinal properties such as inaccessibility, weak compactness, subtlety, almost ineffability and ineffability, as well as classical combinatorial objects such as Aronszajn trees, Souslin trees or square principles. We exhibit correspondences between certain split principles and splitting numbers at uncountable cardinals.
Cite
@article{arxiv.1702.07041,
title = {Split Principles},
author = {Gunter Fuchs and Kaethe Minden},
journal= {arXiv preprint arXiv:1702.07041},
year = {2024}
}