Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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BETWEEN PAIRWISE -α- PERFECT FUNCTIONS AND PAIRWISE -T- α- PERFECT FUNCTIONS

  • ALI A. ATOOM (Department of Mathematics, Faculty of Science, Ajloun National University) ;
  • FERAS BANI-AHMAD (Department of Mathematics, Faculty of Science, the Hashemite University)
  • Received : 2022.06.29
  • Accepted : 2023.10.23
  • Published : 2024.01.30
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Abstract

Many academics employ various structures to expand topological space, including the idea of topology, as a result of the importance of topological space in analysis and some applications. One of the most notable of the generalizations was the definition of perfect functions in bitopological spaces, which was presented by Ali.A.Atoom and H.Z.Hdeib. We propose the notion of α- pairwise perfect functions in bitopological spaces and define different types of this concept in this study. Pairwise -T - α- perfect functions, pairwise -α-irr-perfect functions, and pairwise -T - α- irr-perfect functions, are all characterized in addition to pairwise -α-perfect functions. We go through their primary characteristics and show how they interact. Finally, under these functions, we introduce the images and inverse images of certain bitopological features. About these concepts, some product theorems have been discovered.

Keywords

Acknowledgement

The authors wish to thank the anonymous reviewers for their valuable suggestions.

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