WEAK FORMS OF ω−OPEN SETS

Authors

  • Mohammed Al-Hawmi Department of Mathematics, Faculty of Education, Arts and Sciences, University of Saba Region, Mareb, Yemen
  • Amin Saif Department of Mathematics, Faculty of Sciences, Taiz University, Taiz, Yemen
  • Yahya Awbal Department of Mathematics, Faculty of Education, Arts and Sciences, University of Saba Region, Mareb, Yemen

DOI:

https://doi.org/10.53555/eijms.v6i1.47

Keywords:

Open set, Generalized Open set, Decomposition of continuity

Abstract

The principle purpose of this paper is to introduce and study some new classes of sets in topological spaces which are finer than the classes of open sets and ω−open sets. The continuity via these classes will be introduced and studied.

References

. M. E. Abd El-Monsef, S. N. El-Deeb and R. A. Mahmoud, β−open sets and β−continuous mapping, Bull. Fac. Sci.

Assiut Univ., 12 (1983), 77-90.

. K. Al-Zoubi, On generalized ω−closed sets, International Journal of Mathematics and Mathematical Sciences, 13

(2005), 20112021.

. J. Dontchev and H. Maki, On θ−generalized closed sets, Int. J. Math. Math. Sci., 22 (1999), 239-249.

. H. Z. Hdeib, w−closed mappings, Revista Colombiana de Matematicas, 16 (1982), 65-78.

. F. Helen, 1968, Introduction to General Topology, Boston: University of Massachusetts.

. N. Levine, Generalized closed sets in topology, Rend. Cric. Mat.Palermo, 2 (1970), 89-96.

. T. Noiri, A. Al-omari and M. Noorani, Weak forms of ω−open sets and decompositions of continuity, European

Journal of Pure and Applied Mathematics 1, (2009), 73-84

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Published

2016-06-27

Issue

Vol. 2 No. 1 (2016): EPH - International Journal of Mathematics and Statistics (ISSN: 2208-2212)

Section

Articles

License

Copyright (c) 2016 International Journal of Mathematics and Statistics

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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