Some Faintly Continuous Functions on Generalized Topology
Abstract:
A function f : (X, μ) → (Y, σ) is said to be faintly (μ, σ)-continuous if f –1(V) is μ-open in X for every θ-open set V of Y. In this paper, the authors introduce and investigate some types of faintly (μ-σ)-continuous functions on generalized topological space (X, μ) into the topological space (Y, σ). Some characterizations and properties of such a type of functions are discussed.
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Andrijevie, D., Semi pre-open sets. (1986). Mathematicki vesnik, 38, 24-32.
Csaszar.A., Generalized topology, generalized continuity. (2002). Acta Mathematica Hungarica, 96 (4), 351-357.
Csaszar.A., Extremally disconnected generalized topologies. (2004). Annales Univ. Budapest, Section Math (17) 151-161.
Csaszar.A., Generalized open sets in generalized topologies. (2005). Acta Mathematica Hungerica, 106, 1:2, 53-66.
Csaszar.A., and modifications of generalized topologies. (2008). Acta mathematica Hungarica, 120 (3), 275-279.
Dhana Balan.A.P., Continuous Functions on Generalized topology and certain Allied Structures. (2014). Math. Sci. Int. Research jou; 3(1), 180-183.
Ekici, E., On e-open sets DP*-sets DPE*-sets and decompositions of continuity. (2008). The Arabian jou.for Sci and Engg, A, 33(2), 269-282.
Fomin, S., Extensions of Topological Spaces. (1943). Ann. of Maths. 44, 471- 480. http://dx.doi.org/10.2307/1968976
Jafari, S., Some properties of quasi -continuous functions. (1998). Far East J. Math. Soc., 6, 689-696.
Levine, N., A decomposition of continuity in topological spaces. (1961). Amer. Maths. Monthly 68, 44-66. http://dx.doi.org/10.2307/2311363
Levine, N., Semi-open sets and Semi continuity in topological spaces. (1963). Amer. Maths. Monthly 70, 36-41. http://dx.doi.org/10.2307/2312781
Maio, G.Di., Noiri, T., On s-closed spaces. (1987). Indian.jou.Pure and Applied Maths. 18 (3), 226-233.
Mashhour, A.S., Monsef, M.E. Abd. El., Deep, S.N.El., On precontinuous and weak precontinuous mappings. (1982). Proc. of the Math and Physi, Soc. of Egypt, 53, 47-53.
Monsef, M.E. Abd. El., Deeb, S.N. El., Mahmoud, R.A., -open sets and -continuous mappings.(1983). Bull. of the Faculty of Sci, Assint University, A,12(1), 77-90.
Njastad, O., On some classes of nearly open sets. (1965). Pacific Journal of Mathematics, 15, 961-970. http://dx.doi.org/10.2140/pjm.1965.15.961
Noiri,T., On -continuous functions.(1980). J. Korean Math. Soc., 16, 161-166.
Pal, M.C., Bhattacharyya, P., Feeble and Strong forms of pre irresolute functions.
Park, J.H., Song, D.S., Saadati, R., On generalized δ-semiclosed sets in topological spaces. (2007) chaos, Solitions and Fractals, 33(4), 1329-1338.
Raychandhuri.S., Mukherjee, M.N., On -almost continuity and -Preopen sets. (1993). Bulletin Math. Academic sinica, 21(4), 357-366.
Roy, B., Unification of almost strongly -continuous functions, accepted in Le mathematiche.
Roy, B., On a type of generalized open sets. (2011). Applied General Topology, 12(2), 163-173.
Velicko, N.V., H-closed topological spaces. (1966). Mathematicheskii sbornik, 70, 112, 98-112.
