$LJ$-spaces

Gao, Yin-Zhu. "$LJ$-spaces." Czechoslovak Mathematical Journal 57.4 (2007): 1223-1237. <http://eudml.org/doc/31190>.

@article{Gao2007,
abstract = {In this paper $LJ$-spaces are introduced and studied. They are a common generalization of Lindelöf spaces and $J$-spaces researched by E. Michael. A space $X$ is called an $LJ$-space if, whenever $\lbrace A,B\rbrace $ is a closed cover of $X$ with $A\cap B$ compact, then $A$ or $B$ is Lindelöf. Semi-strong $LJ$-spaces and strong $LJ$-spaces are also defined and investigated. It is demonstrated that the three spaces are different and have interesting properties and behaviors.},
author = {Gao, Yin-Zhu},
journal = {Czechoslovak Mathematical Journal},
keywords = {$LJ$-spaces; Lindelöf; $J$-spaces; $L$-map; (countably) compact; perfect map; order topology; connected; topological linear spaces; -spaces; -map; (countably) compact; perfect map; order topology; topological linear spaces},
language = {eng},
number = {4},
pages = {1223-1237},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {$LJ$-spaces},
url = {http://eudml.org/doc/31190},
volume = {57},
year = {2007},
}

TY - JOUR
AU - Gao, Yin-Zhu
TI - $LJ$-spaces
JO - Czechoslovak Mathematical Journal
PY - 2007
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 4
SP - 1223
EP - 1237
AB - In this paper $LJ$-spaces are introduced and studied. They are a common generalization of Lindelöf spaces and $J$-spaces researched by E. Michael. A space $X$ is called an $LJ$-space if, whenever $\lbrace A,B\rbrace $ is a closed cover of $X$ with $A\cap B$ compact, then $A$ or $B$ is Lindelöf. Semi-strong $LJ$-spaces and strong $LJ$-spaces are also defined and investigated. It is demonstrated that the three spaces are different and have interesting properties and behaviors.
LA - eng
KW - $LJ$-spaces; Lindelöf; $J$-spaces; $L$-map; (countably) compact; perfect map; order topology; connected; topological linear spaces; -spaces; -map; (countably) compact; perfect map; order topology; topological linear spaces
UR - http://eudml.org/doc/31190
ER -