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g * -closed sets and a new separation axiom in Alexandroff spaces

Pratulananda Das;  Md. Mamun Ar Rashid — 2003

Archivum Mathematicum

In this paper we introduce the concept of g * -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 * -closed sets and investigate some of its consequences.

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