# Sh:911

• Garti, S., & Shelah, S. (2011). Depth of Boolean algebras. Notre Dame J. Form. Log., 52(3), 307–314.
• Abstract:
We show under the assumption \bf {V} = \bf {L} that the {\rm Depth} of an ultraproduct of Boolean Algebras cannot jump over the {\rm Depth} of every component by more than one cardinal. This is done for every cardinal. We also get better results for singular cardinals with countable cofinality.
• Version 2009-12-29_11 (11p) published version (8p)
Bib entry
@article{Sh:911,
author = {Garti, Shimon and Shelah, Saharon},
title = {{Depth of Boolean algebras}},
journal = {Notre Dame J. Form. Log.},
fjournal = {Notre Dame Journal of Formal Logic},
volume = {52},
number = {3},
year = {2011},
pages = {307--314},
issn = {0029-4527},
mrnumber = {2822491},
mrclass = {06E05 (03E45 03G05)},
doi = {10.1215/00294527-1435474},
note = {\href{https://arxiv.org/abs/0802.4185}{arXiv: 0802.4185}},
arxiv_number = {0802.4185}
}