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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