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Some Applications of Supra Preopen Sets

Author

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  • M. E. El-Shafei
  • A. H. Zakari
  • T. M. Al-shami
  • Ljubisa Kocinac

Abstract

The aim of this work is to define some concepts on supra topological spaces using supra preopen sets and investigate main properties. We started this paper by correcting some results obtained in previous study and presenting further properties of supra preopen sets. Then, we introduce a concept of supra prehomeomorphism maps and discuss its main properties. After that we explore the concepts of supra limit and supra boundary points of a set with respect to supra preopen sets and examine their behaviours on the spaces that possess the difference property. Finally, we formulate the concepts of supra pre-Ti-spaces i=0,1,2,3,4 and give completely descriptions for each one of them. In general, we study their main properties in detail and show the implications of these separation axioms among themselves as well as with STi-space with the help of some interesting examples.

Suggested Citation

  • M. E. El-Shafei & A. H. Zakari & T. M. Al-shami & Ljubisa Kocinac, 2020. "Some Applications of Supra Preopen Sets," Journal of Mathematics, Hindawi, vol. 2020, pages 1-11, May.
    • Handle: RePEc:hin:jjmath:9634206
    DOI: 10.1155/2020/9634206
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    Cited by:

    1. Salem Saleh & Tareq M. Al-shami & A. A. Azzam & M. Hosny, 2023. "Stronger Forms of Fuzzy Pre-Separation and Regularity Axioms via Fuzzy Topology," Mathematics, MDPI, vol. 11(23), pages 1-15, November.

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