Limit Points and Separation Axioms with Respect to Supra Semi-open Sets

Authors

  • Tareq M. AL-shami Sana'a university http://orcid.org/0000-0002-8074-1102
  • E. A. Abo-Tabl 1-Department of Mathematics, College of Arts and Sciences,Methnab, Qassim University, P. O. Box 931, Buridah 51931, Methnab, Saudia Arabia 2-Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
  • Baravan Assad Department of Computer Science, College of Science, Cihan University-Duhok, Iraq Department of Mathematics, Faculty of Science, University of Zakho, Iraq
  • Mohamed Arahet Department of Mathematics, Amran University, Amran, Yemen

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i3.3743

Keywords:

Supra semi-open set, supra semi limit point, SsTi-space (i = 0, 1, 2, 3, 4)

Abstract

Sometimes we need to minimize the conditions of topology for different reasons such as obtaining more convenient structures to describe some real-life problems, or constructing some counterexamples whom show the interrelations between certain topological concepts, or preserving some properties under fewer conditions of those on topology. To contribute this research area, in this paper, we establish some new concepts on supra topological spaces using supra semi-open sets and give some characterizations of them. First, we introduce a concept of supra semi limit points of a set and study main properties, in particular, on the spaces that possess the difference property. Second, we define and investigate new separation axioms, namely supra semi Ti-spaces (i = 0, 1, 2, 3, 4) and give complete descriptions for each one of them. We provide some examples to show the relationships between them as well as with STi-space.

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How to Cite

AL-shami, T. M., Abo-Tabl, E. A., Assad, B., & Arahet, M. (2020). Limit Points and Separation Axioms with Respect to Supra Semi-open Sets. European Journal of Pure and Applied Mathematics, 13(3), 427–443. https://doi.org/10.29020/nybg.ejpam.v13i3.3743