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Keywords:
Lindelöf; forcing
Lindelöf; forcing
Summary:
We prove that $\diamondsuit^*$ implies there is a zero-dimensional Hausdorff Lindelöf space of cardinality $2^{\aleph_1}$ which has points $G_\delta$. In addition, this space has the property that it need not be Lindelöf after countably closed forcing.
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