# 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. - published version (6p)

Bib entry

@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}, doi = {10.1556/SScMath.2007.1037}, mrclass = {54A25 (03E35)}, mrnumber = {2641451}, mrreviewer = {Gary Gruenhage}, doi = {10.1556/SScMath.2007.1037}, note = {\href{https://arxiv.org/abs/math/0702295}{arXiv: math/0702295}}, arxiv_number = {math/0702295} }