On relatively almost Lindelöf subsets

Song, Yankui. "On relatively almost Lindelöf subsets." Mathematica Bohemica 134.2 (2009): 183-190. <http://eudml.org/doc/38085>.

@article{Song2009,
abstract = {A subspace $Y$ of a space $X$ is almost Lindelöf (strongly almost Lindelöf) in $X$ if for every open cover $\mathcal \{U\}$ of $X$ (of $Y$ by open subsets of $X$), there exists a countable subset $\mathcal \{V\}$ of $\mathcal \{U\}$ such that $Y\subseteq \bigcup \lbrace \overline\{V\}\: V\in \mathcal \{V\}\rbrace $. In this paper we investigate the relationships between relatively almost Lindelöf subset and relatively strongly almost Lindelöf subset by giving some examples, and also study various properties of relatively almost Lindelöf subsets and relatively strongly almost Lindelöf subsets.},
author = {Song, Yankui},
journal = {Mathematica Bohemica},
keywords = {Lindelöf space; strongly Lindelöf subset; almost Lindelöf subset; strongly almost Lindelöf subset; strongly almost Lindelöf subset},
language = {eng},
number = {2},
pages = {183-190},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On relatively almost Lindelöf subsets},
url = {http://eudml.org/doc/38085},
volume = {134},
year = {2009},
}

TY - JOUR
AU - Song, Yankui
TI - On relatively almost Lindelöf subsets
JO - Mathematica Bohemica
PY - 2009
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 134
IS - 2
SP - 183
EP - 190
AB - A subspace $Y$ of a space $X$ is almost Lindelöf (strongly almost Lindelöf) in $X$ if for every open cover $\mathcal {U}$ of $X$ (of $Y$ by open subsets of $X$), there exists a countable subset $\mathcal {V}$ of $\mathcal {U}$ such that $Y\subseteq \bigcup \lbrace \overline{V}\: V\in \mathcal {V}\rbrace $. In this paper we investigate the relationships between relatively almost Lindelöf subset and relatively strongly almost Lindelöf subset by giving some examples, and also study various properties of relatively almost Lindelöf subsets and relatively strongly almost Lindelöf subsets.
LA - eng
KW - Lindelöf space; strongly Lindelöf subset; almost Lindelöf subset; strongly almost Lindelöf subset; strongly almost Lindelöf subset
UR - http://eudml.org/doc/38085
ER -