Lindelof spaces of singular density
Abstract
A cardinal lambda is called omega-inaccessible if for all mu < lambda we have muomega<lambda. We show that for every omega-inaccessible cardinal lambda there is a CCC (hence cardinality and cofinality preserving) forcing that adds a hereditarily Lindelof regular space of density lambda. This extends an analogous earlier result of ours that only worked for regular lambda.
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