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        Between pairwise $-\alpha -$ perfect functions and pairwise $-T-$ $\alpha -$ perfect functions

        Ali A. Atoom,Feras Bani-Ahmad 한국전산응용수학회 2024 Journal of applied mathematics & informatics Vol.42 No.1

        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 $\alpha -$ pairwise perfect functions in bitopological spaces and define different types of this concept in this study. Pairwise $-T-$ $\alpha-$ perfect functions, pairwise $-\alpha -$irr-perfect functions, and pairwise $-T-$ $\alpha -$ irr-perfect functions, are all characterized in addition to pairwise $-\alpha -$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.

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