Remarks on strongly star-Menger spaces
Commentationes Mathematicae Universitatis Carolinae (2013)
- Volume: 54, Issue: 1, page 97-104
- ISSN: 0010-2628
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topSong, Yan-Kui. "Remarks on strongly star-Menger spaces." Commentationes Mathematicae Universitatis Carolinae 54.1 (2013): 97-104. <http://eudml.org/doc/252475>.
@article{Song2013,
abstract = {A space $X$ is strongly star-Menger if for each sequence $(\mathcal \{U\}_n:n\in \mathbb \{N\})$ of open covers of $X$, there exists a sequence $(K_n:n\in N)$ of finite subsets of $X$ such that $\lbrace St(K_n,\mathcal \{U\}_n):n\in \mathbb \{N\}\rbrace $ 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.},
author = {Song, Yan-Kui},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {selection principles; strongly starcompact; strongly star-Menger; Alexandroff duplicate; strongly starcompact space; strongly star-Menger space; Isbell-Mrówka space; Alexandroff duplicate},
language = {eng},
number = {1},
pages = {97-104},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Remarks on strongly star-Menger spaces},
url = {http://eudml.org/doc/252475},
volume = {54},
year = {2013},
}
TY - JOUR
AU - Song, Yan-Kui
TI - Remarks on strongly star-Menger spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2013
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 54
IS - 1
SP - 97
EP - 104
AB - A space $X$ is strongly star-Menger if for each sequence $(\mathcal {U}_n:n\in \mathbb {N})$ of open covers of $X$, there exists a sequence $(K_n:n\in N)$ of finite subsets of $X$ such that $\lbrace St(K_n,\mathcal {U}_n):n\in \mathbb {N}\rbrace $ 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.
LA - eng
KW - selection principles; strongly starcompact; strongly star-Menger; Alexandroff duplicate; strongly starcompact space; strongly star-Menger space; Isbell-Mrówka space; Alexandroff duplicate
UR - http://eudml.org/doc/252475
ER -
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