Geodesic
$LJ$-spaces
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 4, pp. 1223-1237 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 54D20, 54D30, 54F05, 54F65
Keywords: $LJ$-spaces; Lindelöf; $J$-spaces; $L$-map; (countably) compact; perfect map; order topology; connected; topological linear spaces 
@article{CMJ_2007_57_4_a8,
     author = {Gao, Yin-Zhu},
     title = {$LJ$-spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1223--1237},
     year = {2007},
     volume = {57},
     number = {4},
     mrnumber = {2357588},
     zbl = {1174.54012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2007_57_4_a8/}
}
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Gao, Yin-Zhu. $LJ$-spaces. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 4, pp. 1223-1237. http://geodesic.mathdoc.fr/item/CMJ_2007_57_4_a8/