Sh:899

• Juhász, I., & Shelah, S. (2008). Hereditarily Lindelöf spaces of singular density. Studia Sci. Math. Hungar., 45(4), 557–562. arXiv: math/0702295 DOI: 10.1556/SScMath.2007.1037 MR: 2641451
• Abstract:
  A cardinal \lambda is called \omega-inaccessible if for all \mu<\lambda we have \mu^\omega < \lambda. We show that for every \omega-inaccessible cardinal \lambda there is a CCC (hence cardinality and cofinality preserving) forcing that adds a hereditarily Lindel'́ of regular space of density \lambda. This extends an analogous earlier result of ours that only worked for regular \lambda.
• Version 2007-03-19_11 (7p) published version (6p)

@article{Sh:899,
 author = {Juh{\'a}sz, Istv{\'a}n and Shelah, Saharon},
 title = {{Hereditarily Lindel\"of spaces of singular density}},
 journal = {Studia Sci. Math. Hungar.},
 fjournal = {Studia Scientiarum Mathematicarum Hungarica. A Quarterly of the Hungarian Academy of Sciences},
 volume = {45},
 number = {4},
 year = {2008},
 pages = {557--562},
 issn = {0081-6906},
 mrnumber = {2641451},
 mrclass = {54A25 (03E35)},
 doi = {10.1556/SScMath.2007.1037},
 note = {\href{https://arxiv.org/abs/math/0702295}{arXiv: math/0702295}},
 arxiv_number = {math/0702295}
}