Weak Separation Axioms in Bi-weak Structure Spaces
Abstract
In this article, a new space, which consists of a nonempty set and two weak structures on , is introduced. It is called a bi-weak structure space or briefly a bi-w space. Some properties of closed sets and open sets are studied in this space. Furthermore, some characterizations of weak separation axioms are obtained. Keywords : weak structure, bi-weak structure, -bi-w spaces, -bi-w spaces, -bi-w spaces.References
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Zakari, A.H. (2013). Some Generlizations on Generalized Topology and Minimal Structure spaces. Int. Journal of
Math. Analysis, 7, 2697–2708
4, 891–897.
Boonpok, C. (2010). Biminimal structure spaces.Int. Math. Forum, 5, 703–707.
Buadong, S.; Viriyapong, C. & Boonpok, C. (2011). On generalized topology and minimal structure spaces.
Int. Journal of Math. Analysis, 5, 1507–1516.
Csa´sza´r, A´. (2002). Generalized topology, generalized continuity.Acta Math. Hungar, 96, 351–357.
Csa´sza´r, A´. (2011). Weak structures.Int. Math. Hungar, 131, 193–195.
Kelly, J.C. (1963).Bitopological spaces. Proc. London. Math. Soc, 13, 71-89.
Levine, N. (1970). Generalized closed sets in topology. Rend. Circ. Math. Palermo, 19, 89–96.
Popa, V. & Noiri, T. (2002). On M-continuous function. Anal. Univ. Dunareade Jos, Galati, Ser.Mat. Fiz. Mec. Teor.
Fasc. II, 18, 31–41.
Zakari, A.H. (2013). Some Generlizations on Generalized Topology and Minimal Structure spaces. Int. Journal of
Math. Analysis, 7, 2697–2708
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Published
2017-06-12
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Research Article
