Sh:878
- Garti, S., & Shelah, S. (2008). On Depth and Depth^+ of Boolean algebras. Algebra Universalis, 58(2), 243–248. arXiv: math/0512217 DOI: 10.1007/s00012-008-2065-1 MR: 2386531
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Abstract:
We show that the {\rm Depth}^+ of an ultraproduct of Boolean Algebras, can not jump over the {\rm Depth}^+ of every component by more than one cardinality. We can have, consequently, similar results for the Depth invariant - Version 2007-03-19_11 (8p) published version (6p)
Bib entry
@article{Sh:878, author = {Garti, Shimon and Shelah, Saharon}, title = {{On Depth and Depth$^+$ of Boolean algebras}}, journal = {Algebra Universalis}, fjournal = {Algebra Universalis}, volume = {58}, number = {2}, year = {2008}, pages = {243--248}, issn = {0002-5240}, mrnumber = {2386531}, mrclass = {06E05 (03G05)}, doi = {10.1007/s00012-008-2065-1}, note = {\href{https://arxiv.org/abs/math/0512217}{arXiv: math/0512217}}, arxiv_number = {math/0512217} }