Separation Axioms by Using gh- Closed Sets

Authors

  • Beyda S. Abdullah Department of Mathematic, College of Education for Pure Science, University of Mosul
  • Sabih W. A askandar Department of Mathematic, College of Education for Pure Science, University of Mosul

Keywords:

closed set,, generalized closed set, h-closed set,, gh-closed set, T_(1/2)- space

Abstract

Gh- separation axioms was introduced in our work via h-open sets, where we discuss some properties and several characterizations of this class. Additionally, we discuss the relationship between the gh-separation axioms and provide numerous examples. On the other hand, we have get that separation axioms give gh- separation axioms, we demonstrate that the contrary may not be true by using examples. Also, the notion of gh- Regular space, gh-Normal space, gh-Completely Regular space, gh-Completely Normal space and gh- Perfectly Normal space is introduced and some properties are proved. Finely, we defined - space and we study the relation between  and .  .

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Published

2022-09-30

How to Cite

Abdullah , B. S. ., & askandar, S. W. A. (2022). Separation Axioms by Using gh- Closed Sets. Samarra Journal of Pure and Applied Science, 4(3), 36–45. Retrieved from https://www.sjpas.com/index.php/sjpas/article/view/414

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