Generalization of soft $\mu$-compact soft generalized topological spaces

Abstract

Our work aims to introduce generalization of soft $\mu$-compact soft generalized topological spaces, namely; soft nearly $\mu$-compact spaces which are defined over initial universe with a fixed set of parameters. Basic properties and some significant corollaries will be introduced, Moreover, we investigated that a soft nearly $\mu$-compact space produces a parametrized family of nearly $\mu$-compact spaces. Some counter examples will be established to show that the converse may not be hold.

10 pages