SOME TOPOLOGICAL PROPERTIES OF SOFT DOUBLE TOPOLOGICAL SPACES

Year 2017, Issue: 16, 27 - 48, 01.05.2017

Osama Abd El-hamed El-tantawy Sobhy Ahmed Ali El-sheikh Salama Hussien Ali Shaliel

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.