Geodesic
A note on spaces with countable extent
Commentationes Mathematicae Universitatis Carolinae, Tome 58 (2017) no. 3, pp. 397-399.

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Let $P$ be a topological property. A space $X$ is said to be star P if whenever $\mathcal U$ is an open cover of $X$, there exists a subspace $A\subseteq X$ with property $P$ such that $X=St(A,\mathcal U)$. In this note, we construct a Tychonoff pseudocompact SCE-space which is not star Lindelöf, which gives a negative answer to a question of Rojas-Sánchez and Tamariz-Mascarúa.
DOI : 10.14712/1213-7243.2015.211
Classification : 54B05, 54B10, 54C10, 54D20
Keywords: star properties; star Lindelöf; space with star countable extent 
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Song, Yan-Kui. A note on spaces with countable extent. Commentationes Mathematicae Universitatis Carolinae, Tome 58 (2017) no. 3, pp. 397-399. doi : 10.14712/1213-7243.2015.211. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2015.211/

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