On S_G-Fréchet Space and S_G-Hausdorff Space in Soft Group Topological Spaces and Neutrosophic Soft Group Sets

Majd Hamid Mahmood^1,*

¹Department of Mathematics, Al- Mustansiriyah University, Baghdad, Iraq

Abstract

In this paper, we introduce some concepts : soft group point, soft group set, soft group topology ,define soft group Fréchet space and soft group Hausdorff space in soft group topological spaces, study a relation between F_G - topological space and soft group topological space with examples. Finally we introduce a new generalized definition called NSG- sets study the relations between it and the related sets.

Keywords: Soft group set; Soft group topology; Group topology; S_G-Fréchet space ; S_G-Hausdorff space ; F_G-point ; F_G-Fréchet space ; F_G-Hausdorff space; NSG- sets