# Sh:663

• Shelah, S., & Spinas, O. (1999). On tightness and depth in superatomic Boolean algebras. Proc. Amer. Math. Soc., 127(12), 3475–3480.
• 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)\geq\lambda^+, then depth(B)\geq\lambda. This improves a theorem of Dow and Monk.
• Version 1998-02-16_10 (8p) published version (6p)
Bib entry
@article{Sh:663,
author = {Shelah, Saharon and Spinas, Otmar},
title = {{On tightness and depth in superatomic Boolean algebras}},
journal = {Proc. Amer. Math. Soc.},
fjournal = {Proceedings of the American Mathematical Society},
volume = {127},
number = {12},
year = {1999},
pages = {3475--3480},
issn = {0002-9939},
mrnumber = {1610793},
mrclass = {03E55 (03G05 06A07)},
doi = {10.1090/S0002-9939-99-04944-8},
note = {\href{https://arxiv.org/abs/math/9802135}{arXiv: math/9802135}},
arxiv_number = {math/9802135}
}