On elementary soft compact topological spaces

Abstract

This paper is a work on elementary soft (𝜖-soft) compact spaces. We first define the cofinite 𝜖-soft compact space and prove that the image of an 𝜖-soft compact space under a soft continuousmapping is 𝜖-soft compact space. We then examine the relationship between 𝜖-soft compactspace and classical compact space and give an illustrative example.

Keywords

• soft set
• soft element
• elementary operations
• 𝜖-soft compactness.