# Sh:663

- Shelah, S., & Spinas, O. (1999).
*On tightness and depth in superatomic Boolean algebras*. Proc. Amer. Math. Soc.,**127**(12), 3475–3480. arXiv: math/9802135 DOI: 10.1090/S0002-9939-99-04944-8 MR: 1610793 -
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} }