Weakly g-ω-closed Sets
Keywords:
τ, generalized class, weakly g-ω-closed set, topological space, generalized closed set, g-ω-closed set, preclosed set, preopen set
Abstract
In this paper, another generalized class of τ called weakly g-ω-closed sets is studied and the notion of weakly g-ω-open sets in topological spaces is also studied. The relationships of weakly g-ω-closed sets with various other sets are investigated.
References
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M.H.Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc., 41(1937), 375-481.
P.Sundaram and N.Nagaveni, On weakly generalized continuous maps, weakly generalized closed maps and weakly generalized irresolute maps in topological spaces, Far East J. Math. Sci., 6(6)(1998), 903-1012.
P.Sundaram and A.Pushpalatha, Strongly generalized closed sets in topological spaces, Far East J. Math. Sci., 3(4)(2001), 563-575.
R.Umamaheswari, R.Premkumar and O.Ravi, g-ω-closed sets, Submitted.
S.Willard, General Topology, Addison-Wesley, Reading, Mass, USA, (1970).
A.Al-Omari and M.S.M.Noorani, Regular generalized ω-closed sets, Intern. J. Math. Math. Sci., 2007(2007), Article ID 16292, 11 Pages.
K.Banumathi, I.Rajasekaran and O.Ravi, Mildly g-ω-closed sets, Submitted.
H.Z.Hdeib, ω-closed mappings, Revista Colomb. De Matem., 16(1-2)(1982), 65-78.
Khalid Y.Al-Zoubi, On generalized ω-closed sets, Intern. J. Math. Math. Sci., 13(2005), 2011-2021.
N.Levine, Generalized closed sets in topology, Rend. Cir. Math. Palermo, 19(2)(1970), 89-96.
A.S.Mashhour, M.E.Abd El-Monsef and S.N.El-Deeb, On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt, 53(1982), 47-53.
T.Noiri, A.Al-Omari and M.S.M.Noorani, Weak forms of ω-open sets and decompositions of continuity, Eur. J. Pure Appl. Math., 2(1)(2009), 73-84.
J.K.Park and J.H.Park, Mildly generalized closed sets, almost normal and mildly normal spaces, Chaos, Solitons and Fractals, 20(2004), 1103-1111.
M.H.Stone, Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc., 41(1937), 375-481.
P.Sundaram and N.Nagaveni, On weakly generalized continuous maps, weakly generalized closed maps and weakly generalized irresolute maps in topological spaces, Far East J. Math. Sci., 6(6)(1998), 903-1012.
P.Sundaram and A.Pushpalatha, Strongly generalized closed sets in topological spaces, Far East J. Math. Sci., 3(4)(2001), 563-575.
R.Umamaheswari, R.Premkumar and O.Ravi, g-ω-closed sets, Submitted.
S.Willard, General Topology, Addison-Wesley, Reading, Mass, USA, (1970).
How to Cite
K.Amutha, K.M.Dharmalingam, & O.Ravi. (2017). Weakly g-ω-closed Sets. International Journal of Current Research in Science and Technology, 3(3), 9-14. Retrieved from https://crst.gfer.org/index.php/crst/article/view/85
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