Publications de l'Institut Mathématique, Nouvelle Série Vol. 98(112), pp. 193–198 (2015) 

Some remarks on almost Menger spaces and weakly Menger spacesYanKui SongInstitute of Mathematics, School of Mathematical Science, Nanjing Normal University, Nanjing, ChinaAbstract: A space $X$ is \emph{almost Menger (weakly Menger)} if for each sequence $(\U_n:n\in\mathbb N)$ of open covers of $X$ there exists a sequence $(\mathcal V_n:n\in\mathbb N)$ such that for every $n\in\mathbb N$, $\mathcal V_n$ is a finite subset of $\U_n$ and $\bigcup_{n\in\mathbb N}\bigcup\big\{\overline{V}:V\in\mathcal V_n\big\}=X$ (respectively, $\overline{\bigcup_{n\in\mathbb N}\bigcup\{V:V\in\mathcal V_n\}}=X$). We investigate the relationships among almost Menger spaces, weakly Menger spaces and Menger spaces, and also study topological properties of almost Menger spaces and weakly Menger spaces. Keywords: Menger spaces; almost Menger spaces; weakly Menger spaces Classification (MSC2000): 54D20; 54A35 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 18 Nov 2015. This page was last modified: 6 Jan 2016.
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