### Hereditarily Lindel{\"{o}}f spaces of singular density

by Juhasz and Shelah. [JuSh:899]

Studia Scientiarum Math Hungarica, 2008

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 .

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