On tightness and depth in superatomic Boolean algebras
Logic
2016-09-07 v1 General Topology
Abstract
We introduce a large cardinal property which is consistent with L and show that for every superatomic Boolean algebra B and every cardinal lambda with the large cardinal property, if tightness^+(B) >= lambda^+, then depth (B) >= lambda. This improves a theorem of Dow and Monk.
Cite
@article{arxiv.math/9802135,
title = {On tightness and depth in superatomic Boolean algebras},
author = {Saharon Shelah and Otmar Spinas},
journal= {arXiv preprint arXiv:math/9802135},
year = {2016}
}