Geodesic
A new Lindelöf space with points $G_\delta$
Commentationes Mathematicae Universitatis Carolinae, Tome 56 (2015) no. 2, pp. 223-230.

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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.
DOI : 10.14712/1213-7243.2015.119
Classification : 54A25, 54D20
Keywords: Lindelöf; forcing 
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Dow, Alan. A new Lindelöf space with points $G_\delta$. Commentationes Mathematicae Universitatis Carolinae, Tome 56 (2015) no. 2, pp. 223-230. doi : 10.14712/1213-7243.2015.119. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.119/

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