Geodesic
Remarks on strongly star-Menger spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 54 (2013) no. 1, pp. 97-104 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 54C10, 54D20
Keywords: selection principles; strongly starcompact; strongly star-Menger; Alexandroff duplicate 
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Song, Yan-Kui. Remarks on strongly star-Menger spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 54 (2013) no. 1, pp. 97-104. http://geodesic.mathdoc.fr/item/CMUC_2013_54_1_a7/