SEPARATION AXIOMS AND CONNECTEDNESS FOR βω−OPEN SETS
DOI:
https://doi.org/10.53555/eijms.v6i1.48Keywords:
Open set, Generalized closed set, ConnectednessAbstract
Our propose in this paper is to introduce the new classes for separation axioms in topo logical spaces by using βω−open sets and Gβω−open sets, called βω−separation axioms and Gβω−separation axioms. Furthermore, we introduce the stronger form of connected spaces.
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.
. C. Baker, On slightly precontinuous functions, Act. Math. Hunger, 94(2002), 45-52.
. 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. [6] F. Helen, 1968,
Introduction to General Topology, Boston: University of Massachusetts. [7] 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.
. A. Saif and Y. Awbel, Weak forms of ω−open sets, (Submitted).
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