Some New Results on Soft n-T4 Spaces

Abstract

Göçür and Kopuzlu showed that any soft T₄ space, may not be a soft T₂ space (also may not be a soft T₃ space). In this case, they described a new soft separation axiom which is called soft n-T₄ space. Then they indicated that any soft n-T₄ space is soft T₃ space also (Göçür and Kopuzlu, 2015b). In the present paper we showed that if (X,τ,E) is a soft n-T₄ space, topological space (X,τ_e )  is a T₄ space for all e∈ E. Then we indicated that any Soft Metric space is also soft n-T₄ space. Consequently, we indicated that any Soft Metric space ⟹ Soft n-T_4 space ⟹ Soft T_3 space ⟹ Soft T_2 space ⟹ soft T_1 space ⟹ soft T_0 space also.

Keywords

• soft metric space,soft separation axioms,soft set,soft closed set,soft n- space,soft topological space

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