SOME TOPOLOGICAL PROPERTIES OF SOFT DOUBLE TOPOLOGICAL SPACES

Abstract

In this paper, we introduce new separation axioms on soft double topological spaces and study some of their properties. Also, we define the soft double subspaces and study some related properties. Finally, we study the behaviour of the separation axioms under open (homeomorphism) mappings.

Keywords

• Soft double T ∗ i −spaces (T ∗∗ i −spaces), (i = 0, 1, 2, 3), SDT0−spaces, SDT 1 2 −spaces, SDT1−spaces, soft double Hausdorff spaces, soft double regular spaces, soft double R2−spaces (SDR2−spaces, for short), soft double subspaces, soft double open mappings, soft double closed mappings, soft double homeomorphism mappings, soft double continuous functions and separation axioms.