Sh:733

• Rosłanowski, A., & Shelah, S. (2001). Historic forcing for depth. Colloq. Math., 89(1), 99–115. arXiv: math/0006219 DOI: 10.4064/cm89-1-7 MR: 1853418
• Abstract:
  We show that, consistently, for some regular cardinals \theta<\lambda, there exist a Boolean algebra B such that |B|= \lambda^+ and for every subalgebra B'\subseteq B of size \lambda^+ we have {\rm Depth}(B')=\theta.
• Version 2001-11-12_11 (14p) published version (17p)

@article{Sh:733,
 author = {Ros{\l}anowski, Andrzej and Shelah, Saharon},
 title = {{Historic forcing for depth}},
 journal = {Colloq. Math.},
 fjournal = {Colloquium Mathematicum},
 volume = {89},
 number = {1},
 year = {2001},
 pages = {99--115},
 issn = {0010-1354},
 mrnumber = {1853418},
 mrclass = {03E35 (03G05 06E05)},
 doi = {10.4064/cm89-1-7},
 note = {\href{https://arxiv.org/abs/math/0006219}{arXiv: math/0006219}},
 arxiv_number = {math/0006219}
}