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A stronger form of generalized closed set via ij-\(\gamma \)-open sets

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Abstract

Since the initiation of generalized closed set, it played a pivotal role in the study of various topological structures. Recently in the bitopological environment, the concept of \(g^*\)-closed set is extended to strongly \(g^*\)-closed set and interrelationships were established among various closed sets, viz. \(sg^*\)-closed set, g-closed set, \(g^*\)-closed set, j-closed set. In this treatise, our main aim is to study a stronger form generalized closed set via \(\gamma \)-open set and to characterize the proposed notion in the same space. As application of the concept, separation axioms on a bitopological space is explored in the light of \(\gamma \)-open sets.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Agartala, 799046, India

    Birojit Das, Baby Bhattacharya & Jayasree Chakraborty

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  1. Birojit Das
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  2. Baby Bhattacharya
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  3. Jayasree Chakraborty
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Correspondence to Baby Bhattacharya.

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Das, B., Bhattacharya, B. & Chakraborty, J. A stronger form of generalized closed set via ij-\(\gamma \)-open sets. Afr. Mat. 33, 75 (2022). https://doi.org/10.1007/s13370-022-01006-8

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