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Lindelof spaces of singular density

Istvan Juhasz·Saharon Shelah
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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 Lindelof regular space of density lambda. This extends an analogous earlier result of ours that only worked for regular lambda.

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Istvan Juhasz, Saharon Shelah. 2007-02-11. Lindelof spaces of singular density. https://arxiv.org/abs/math/0702295

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