$g^\ast $-closed sets and a new separation axiom in Alexandroff spaces
Das, Pratulananda ; Rashid, Md. Mamun Ar
Archivum Mathematicum, Tome 039 (2003), p. 299-307 / Harvested from Czech Digital Mathematics Library
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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.

Publié le : 2003-01-01
Classification:  54A05,  54C08,  54D10 
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     author = {Pratulananda Das and Md. Mamun Ar Rashid},
     title = {$g^\ast $-closed sets and a new separation axiom in Alexandroff spaces},
     journal = {Archivum Mathematicum},
     volume = {039},
     year = {2003},
     pages = {299-307},
     zbl = {1111.54001},
     mrnumber = {2032103},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107878}
}

Das, Pratulananda; Rashid, Md. Mamun Ar. $g^\ast $-closed sets and a new separation axiom in Alexandroff spaces. Archivum Mathematicum, Tome 039 (2003) pp. 299-307. http://gdmltest.u-ga.fr/item/107878/

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