Sh:651

• Rosłanowski, A., & Shelah, S. (2001). Forcing for hL and hd. Colloq. Math., 88(2), 273–310. arXiv: math/9808104 DOI: 10.4064/cm88-2-9 MR: 1852911
• Abstract:
  The present paper addresses the problem of attainment of the supremums in various equivalent definitions of hereditary density {\rm hd} and hereditary Lindelöf degree {\rm hL} of Boolean algebras. We partially answer two problems of J. Donald Monk, Problems 50, 54, showing consistency of different attainment behaviour and proving that (for the considered variants) this is the best result we can expect.
• Version 2001-11-12_11 (32p) published version (38p)

@article{Sh:651,
 author = {Ros{\l}anowski, Andrzej and Shelah, Saharon},
 title = {{Forcing for hL and hd}},
 journal = {Colloq. Math.},
 fjournal = {Colloquium Mathematicum},
 volume = {88},
 number = {2},
 year = {2001},
 pages = {273--310},
 issn = {0010-1354},
 mrnumber = {1852911},
 mrclass = {06E05 (03E35 03G05)},
 doi = {10.4064/cm88-2-9},
 note = {\href{https://arxiv.org/abs/math/9808104}{arXiv: math/9808104}},
 arxiv_number = {math/9808104}
}