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Title: Remarks on strongly star-Menger spaces (English)
Author: Song, Yan-Kui
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 54
Issue: 1
Year: 2013
Pages: 97-104
Summary lang: English
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Category: math
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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. (English)
Keyword: selection principles
Keyword: strongly starcompact
Keyword: strongly star-Menger
Keyword: Alexandroff duplicate
MSC: 54C10
MSC: 54D20
idMR: MR3038074
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Date available: 2013-02-21T14:07:45Z
Last updated: 2015-04-01
Stable URL: http://hdl.handle.net/10338.dmlcz/143155
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Reference: [11] Song Y.-K.: Remarks on star-Menger spaces.Houston J. Math., to appear.
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