ON SOFT γ ̃ GENERALIZED CLOSED SETS

ON SOFT γ ̃ GENERALIZED CLOSED SETS

H. Z. Ibrahim

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Abstract

The purpose of this paper is to de ne some new classes of soft generalized closed sets, namely soft  -   g.closed, soft b-   g.closed, soft p-   g.closed, soft s-   g.closed, soft  -   g.closed and soft   g.closed by using soft   open set. The relationships between these soft sets and the related concepts are investigated. Basic properties of soft  -   g.closed, soft b-   g.closed, soft p-   g.closed, soft s-   g.closed, soft  -   g.closed and soft   g.closed sets are analyzed. Finally, the new soft separation axiom, namely soft   -T12 space is introduced and its basic properties are investigated.

Keywords

Soft topology, soft open set, soft closed set, soft   open set, soft   -T1 2 .