# Article

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Keywords:
selection principles; strongly starcompact; strongly star-Menger; Alexandroff duplicate
Summary:
A space $X$ is strongly star-Menger if for each sequence $(\Cal U_n:n\in \Bbb N)$ of open covers of $X$, there exists a sequence $(K_n:n\in N)$ of finite subsets of $X$ such that $\{St(K_n,\Cal U_n):n\in \Bbb N\}$ is an open cover of $X$. In this paper, we investigate the relationship between strongly star-Menger spaces and related spaces, and also study topological properties of strongly star-Menger spaces.
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