On elementary soft compact topological spaces

Year 2021, Volume: 9 Issue: 2, 198 - 205, 06.12.2021

İsmet Altıntaş , Arzıgul İmankulova

https://doi.org/10.51354/mjen.946652

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 continuous
mapping is 𝜖-soft compact space. We then examine the relationship between 𝜖-soft compact
space and classical compact space and give an illustrative example. 

Keywords

Soft set, soft element, elementary operations, 𝜖-soft compactness.

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