Bi-Statistical γ-Covers Controlled by a Pair of Weight Functions in Topology

Abstract

In this current framework, a new notion called double weighted statistical γ-cover is being introduced within the context of topological space. This notion extends the idea of a traditional open cover by incorporating two weight functions g and h which allocate non-negative real numbers to element of the cover. This approach allows for more versatile and nuanced coverings, providing a powerful tool for analyzing the structure and properties of topological space, particularly in cases where double statistical γ covers may be too restrictive or fail to capture aspects of the space complexity. Furthermore, the application of denseness for two weight functions has been investigated thoroughly. Additionally, explored the concept of product space of double statistical γ-cover equipped with two weight functions g and h.