Geodesic
On $\scr L$-starcompact spaces
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 781-788 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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A space $X$ is $\mathcal L$-starcompact if for every open cover $\mathcal U$ of $X,$ there exists a Lindelöf subset $L$ of $X$ such that $\mathop {\mathrm St}(L,{\mathcal U})=X.$ We clarify the relations between ${\mathcal L}$-starcompact spaces and other related spaces and investigate topological properties of ${\mathcal L}$-starcompact spaces. A question of Hiremath is answered.
A space $X$ is $\mathcal L$-starcompact if for every open cover $\mathcal U$ of $X,$ there exists a Lindelöf subset $L$ of $X$ such that $\mathop {\mathrm St}(L,{\mathcal U})=X.$ We clarify the relations between ${\mathcal L}$-starcompact spaces and other related spaces and investigate topological properties of ${\mathcal L}$-starcompact spaces. A question of Hiremath is answered.
Classification : 54B10, 54D20, 54D55
Keywords: Lindelöf; star-Lindelöf and ${\mathcal L}$-starcompact 
@article{CMJ_2006_56_2_a39,
     author = {Song, Yan-Kui},
     title = {On $\scr L$-starcompact spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {781--788},
     year = {2006},
     volume = {56},
     number = {2},
     mrnumber = {2291775},
     zbl = {1164.54356},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006_56_2_a39/}
}
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Song, Yan-Kui. On $\scr L$-starcompact spaces. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 781-788. http://geodesic.mathdoc.fr/item/CMJ_2006_56_2_a39/