New Study on D−Paracompactness in Bitopological Spaces

The new concept in the paper [1] of D-paracompact spaces is a well-studied type of topological space with rich structural properties and many applications in topological structures. That is, D-paracompact spaces are a natural extension of paracompact spaces in topology and provide a strong basis for understanding the relationship among local countableness, refinements, and D-covers. In this paper, we introduce the concept of pairwise D-paracompact spaces and their features relating to bitopological theory. Additionally, we will discuss the notion of D-paracompact spaces and describe a generalisation of bitopological space characteristics called pairwise D-paracompact spaces. This paper extends the theorems related to D-paracompact spaces in bitopological spaces and gives a number of theoretical findings, definitions, and properties that are thoroughly demonstrated.