Geodesic
$g^\ast $-closed sets and a new separation axiom in Alexandroff spaces
Archivum mathematicum, Tome 39 (2003) no. 4, pp. 299-307
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In this paper we introduce the concept of $g^{\ast }$-closed sets and investigate some of its properties in the spaces considered by A. D. Alexandroff [1] where only countable unions of open sets are required to be open. We also introduce a new separation axiom called $T_{w}$-axiom in the Alexandroff spaces with the help of $g^{\ast }$-closed sets and investigate some of its consequences.
In this paper we introduce the concept of $g^{\ast }$-closed sets and investigate some of its properties in the spaces considered by A. D. Alexandroff [1] where only countable unions of open sets are required to be open. We also introduce a new separation axiom called $T_{w}$-axiom in the Alexandroff spaces with the help of $g^{\ast }$-closed sets and investigate some of its consequences.
Classification : 54A05, 54C08, 54D10
Keywords: space; $g^{\ast }$-closed sets; $g^{\ast }$-open sets; $T_{w}$-space 
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Das, Pratulananda; Rashid, Md. Mamun Ar. $g^\ast $-closed sets and a new separation axiom in Alexandroff spaces. Archivum mathematicum, Tome 39 (2003) no. 4, pp. 299-307. http://geodesic.mathdoc.fr/item/ARM_2003_39_4_a5/

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