New Study on D−Paracompactness in Bitopological Spaces

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DOI: https://doi.org/10.28924/2291-8639-24-2026-31
Published: Jan 29, 2026
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Rehab Alharbi, Jamal Oudetallah, Rahmeh Alrababah, Iqbal M. Batiha, Ala Amourah, Tala Sasa, New Study on D−Paracompactness in Bitopological Spaces, Int. J. Anal. Appl., 24 (2026), 31.

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Rehab Alharbi, Jamal Oudetallah, Rahmeh Alrababah, Iqbal M. Batiha, Ala Amourah, Tala Sasa

Abstract

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.

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