Chaos In Soft Topological Spaces Based On Soft Point

Abstract

In this work, new space is introduced called soft chaos space which is denoted by ̃-space. Some properties on this
space are proved. Also, we prove for a soft continuous mapping on a soft topological space ̃
̃ , that there is relation
between soft transitivity of ̃ and soft density of soft orbit of ̃, and soft transitivity of ̃ has a soft density of soft periodicity.
Keywords: soft dense set, soft isolated point, soft nowhere dense set, soft chaotic mapping, soft chaos space.