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On almost co-F-closed topologies and their applications

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we investigate more properties of the notion of co-F-closed topologies which was introduced by Abo Khadra and Nasef [1]. Several results which have appeared in [5] are expanded and improved. Also, we introduce a new concept of almost co-F-closed topologies of a given topological space and give a new class of functions, namely, almost F-continuous functions which properly contains the class of almost F-continuous functions (Chae et al., [5]). Finally, we show that the concept of almost F-continuity can be considered naturally from the point of view of change of topology.
Rocznik
Tom
Strony
51--58
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
  • Department of Mathematics Faculty of Science Tanta University, Tanta, Egypt
autor
  • Department of Physics and Engineering Mathematics Faculty of Engineering Kafr-El-Sheikh University, Egypt
Bibliografia
  • [1] Abo Khadra A.A., Nasef A.A., Co-F-closed topologies and F-closed spaces, Proc. Math. Phys. Egypt, 79(2003), 79-90.
  • [2] Carnahan D., Locally nearly compact spaces, Bull. Uni Math. Ital., 4(6)(1972), 146-153.
  • [3] Chae G.I., Lee D.W., Lee H.W., Feebly irresolute functions, Sung Shin W. Univ. Report, 21(1985), 273-280.
  • [4] Chae G.I., Lee D.W., F-closed spaces, Kyungpook Math. J, 27(2)(1987), 127-134.
  • [5] Chae G.I., Nasef A.A., Park Y.S., F-continuous functions, East Asian Math Comm., 1(1998), 59-67.
  • [6] DiMaio G., S-closed spaces, S-sets and S-continuous functions, Atti. Accad. Sci. Torino, 118(1984), 125-134.
  • [7] Gauld D.B., Topologies related to notions of near continuity, Kyungpook Math J., 21(1981), 195-204.
  • [8] Hwang S.G., Almost C-continuous functions, J. Korean Math. Soc., 14(1978), 229-234.
  • [9] Jankovic D.S., Reilly I.L., On semi separation properties, Indian J. Pure Appl. Math., 16(9)(1985), 957-964.
  • [10] Jiang S., Reilly I.L., On co S-closed and almost co S-closed topologies, Far East J. Math. Sci., 4(2)(1996), 263-268.
  • [11] Konstadilaki-Savvopoulou Ch., Reilly I.L., On almost-N-continuous functions, J. Austral. Math. Soc. (SeriesA), 58(1995),1-13.
  • [12] Levine N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
  • [13] Maheshwari S.N., Tapi U.D., Notes on some applications of feebly open sets, M.B. Jr. Univ. Saugar, (1978).
  • [14] Malghan S.R., Hanchinamani V.V., N-continuous functions, Ann. Soc. Sci. Bruxelles, 98(1984), 69-79.
  • [15] Malghan S.R., Hanchinamani V.V., Almost N-continuous functions, J. Karnatak Univ. Science, 31(1986), 93-101.
  • [16] Njastad O., On some classes of nearly open sets, Pacific J. Math., 15(3) (1965), 961-970.
  • [17] Noiri T., Remarks on locally nearly compact spaces, Boll. Un. Mat. Ital., 4(10)(1974), 36-43.
  • [18] Porter J., Thomas J., On H-closed and minimal Hausdorff spaces, Trans. Amer Math. Soc., 138(1969), 159-170.
  • [19] Thompson T., S-closed spaces, Proc. Amer. Math. Soc., 60(1976), 335-338.
  • [20] Willard S., General Topology, Addison-Wesley Publ. Co., Ontario, 1970.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-4a126027-20a1-456c-8e26-d2e993b2f2c6
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