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Abstrakty
In this paper we consider new weak and strong forms of y-irresoluteness and y-closure via the concept of gy-closed sets which we call ap-y-irresolute, ap-y-closed and contra-y-irresolute maps. Moreover, we use ap-y-irresolute and ap-y-closed maps to obtain a characterization of y — T1/2 -spaces.
Czasopismo
Rocznik
Tom
Strony
91--100
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
- Department of Mathematics and Physics Faculty of Engineering Kafr El-Sheikh University Kafr El-Sheikh, Egypt
autor
- Department of Mathematics Faculty of Science Kafr El-Sheikh University Kafr El-Sheikh, Egypt
- Department of Mathematics Faculty of Science Taibah University AL-Madinah AL-Munawarah P. O. BOX, 30002, K.S.A
Bibliografia
- [1] Andrijevic D., On b-open sets, Mat. Vesnik, 48(1)(1996 ), 59-64.
- [2] Arya S.P., Nour T.M., Characterizations of s-normal spaces, Indian J. Pure Appl. Math., 21(1990), 717-719.
- [3] Bhattacharyya P., Lahiri B.K., Semi-generalized closed sets in topology, Indian J. Math., 29(1987), 375-382.
- [4] Caldas M., Weak and strong forms of irresolute maps, Internat. J. Math. Math. Sci., 24(2000), 253-259.
- [5] Dontchev J., Przemki M., On the various decompositions of continuous and some weakly continuous functions, Acta Math. Hungar., 71(1-2)(1996), 109-120.
- [6] El-Atik A.A., A Study of Some types of Mappings on Topological Spaces, M. Sc. Thesis, Tanta Univ. Egypt, 1997.
- [7] El-Maghrabi A.I., Some properties of contra-y-continuous mappings, Internat. J. of General Topology, 3(1-2)(2010), 55-64.
- [8] EL-MAGHRABI A.I., NASEF A.A., More on y-closed sets in topology, (preparing).
- [9] Keskin A., Noiri T., On bD-sets and associated separation axioms, Bull. of the Iranian Math. Soc., 35(1)(2009), 179-198.
- [10] Levine N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
- [11] Levine N., Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19(2)(1970), 89-96.
- [12] Maki H., Devi R., Balachandran K., Generalized α-closed sets in topology, Bull. Fukuoka Univ. Ed., Part III(42)(1993), 13-21.
- [13] Masheshwari S.N., Thakur S.S., On a-irresolute mappings, Tamkang J. Math., 11(1980), 209-214.
- [14] Nasef A.A., Some properties of contra-y-continuous functions, Chaos Solitons and Fractals, 24(2005), 471-477.
- [15] Njastad O., On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-970.
- [16] Noiri T., A unified theory of generalized closed sets, The 6th Meeting on topological spaces theory and its applications, Yatsushiro College of Technology, August, 18-19(2001), 27-34.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-fe45d805-c56b-45bf-ad99-778068b5fd51