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Spaces with a $$\sigma$$-weakly hereditarily closure preserving base. (English) Zbl 1181.54028
The authors construct an example of a space with a $$\sigma$$-weakly hereditarily closure-preserving base which is not meta-Lindelöf. The example answers a question posed by Chuan Liu and Lewis D. Ludwig in [Topol. Proc. 29, No. 2, 559–565 (2005; Zbl 1123.54009)].
Reviewer: Shou Lin (Fujian)

##### MSC:
 54D70 Base properties of topological spaces 54C10 Special maps on topological spaces (open, closed, perfect, etc.) 54E99 Topological spaces with richer structures
Zbl 1123.54009
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