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Keywords:
star properties; star Lindelöf; space with star countable extent
star properties; star Lindelöf; space with star countable extent
Summary:
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.
References:
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