Various Separation Axioms on -Closed Sets

  • Abstract
  • Keywords
  • References
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  • Abstract

    The idea behind this article is to introduce and study the notions of -compactness, -connectedness and Gi-axioms. These          notions are characterized using various spaces and different types of continuity.



  • Keywords

    Regular open sets, 𝛿-open sets, -open sets, -compactness, -connectedness.

  • References

      [1] Georgiou, D. N., Jafari, S. and Noiri, T., Properties of (⋀, 𝛿)-closed sets in topological spaces, Bollettino dell'Unione Matematica Italiana, Serie 8, 7-B(2004), 745-756.

      [2] Sivakamasundari, K., Some gG-axioms, Research Highlights, 21(2011), 227-231.

      [3] Stone, M., Application of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc.,41(1937), 374-481.

      [4] Vaishnavy, S. and Sivakamasundari, K., A New Generalization of 𝛿-Closed Sets Using Two Different Operators, International Journal of Engineering Sciences and Research Technology, 5(9)(2016), 791-795.

      [5] Vaishnavy, S. and Sivakamasundari. K., Special properties and Continuity aspects on -closed sets, Global Journal of Pure and Applied Mathematics , 13(1)(2017), 56-61.

      [6] Vaishnavy, S. and Sivakamasundari, K., Separation Axioms on -Closed Sets, International Journal of Computer and Mathematical Sciences, 6(6)(2017), 6-12.

      [7] Vaishnavy, S. and Sivakamasundari, K., -Neighborhood in Topological Spaces, International Journal of Engineering Technology Science and Research, 4(6)(2017), 344-347.

      [8] Vaishnavy, S. and Sivakamasundari, K., Some Concepts related to -closed sets, Proceedings of National Conference on Mathematical Modelling NCMM 2017, 101-106.

      [9] Vaishnavy, S. and Sivakamasundari, K., Continuity aspects on -closed sets, International Journal of Pure and Applied Mathematics (Accepted).

      [10] Velicko, N. S., H-closed topological spaces, Amer. Math. Soc. Transl., 78(1968), 102-118.




Article ID: 26116
DOI: 10.14419/ijet.v7i4.10.26116

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