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A bitopological view of ϒ-open sets

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Języki publikacji
EN
Abstrakty
EN
The aim of this paper is to introduce the ϒ -open sets in bitopological spaces and utilize them to define and characterize (i, j)ϒ -T0 spaces and a class of continuous mappings.
Rocznik
Tom
Strony
53--61
Opis fizyczny
Bibliogr. 21 poz.
Twórcy
autor
  • Department of Economics, Copenhagen University Oester Farimagsgade 5, building 26 1353 Copenhagen K, Denmark, jafari@stofanet.dk
Bibliografia
  • [1] Abd El-Monsef M.E., Taher B.M., Salama A.S., Topological applications of rough set measures in information systems, Preprint.
  • [2] Andrijevic D., Semi-preopen sets, Mat. Vesnik, 38(1)(1986), 24-32.
  • [3] Andrijevic D., On the topology generated by preopen sets, Mate. Bech., 39(1987), 367-376.
  • [4] Arhangel’skii A.V., Collins P.J., On submaximal spaces, Topology Appl., 64(1995), 219-241.
  • [5] Bose S., Semi-open sets, semi-continuity and semiopen mappings in bitopological spaces, Bull. Cal. Math. Soc., 73(1981), 237-246.
  • [6] Corson H., Michael E., Metrizability of certain countable unions, Illinois J. Math., 8(1964), 351-360.
  • [7] El-Deeb S.N., Hasanein A., Mashhour A.S., Noiri T., On p-regular spaces, Bull. Math. Soc. Sci. Math. R. S. Roumanie(N. S), 27(75)(1983), 65-73.
  • [8] Devi R., Bhuvaneswari K. and Maki H., Weak forms of gϱ-closed sets, where ϱϵ {α, α*, α**}, and digital plane, Mem. Fac. Sci. Kochi Univ. Ser. A. Math., 25(2004), 37-54.
  • [9] Foran J., Liebnitz P., A characterization of almost resolvable spaces, Rend. Circ. Mat. Palermo, Serie II, Tomo XL (1991), 136-141.
  • [10] Jafari S., Pre-rarely p-continuous mappings between topological spaces, Far East J. Math. Sci., Special Volume (2000), Part I (Geometry and Topology), 87-96.
  • [11] Kar A., Bhattacharyya P., Bitopological preopen sets, precontinuity and preopen mappings, Indian J. Math., 34(1992), 295-309.
  • [12] Khedr F.H., Al-Areefi B.M., Pre-continuity and semi-pre continuity in bitopological spaces, Indian J. Pure And Appl. Math., 23(1992), 627-633.
  • [13] Levine N., Semi open sets and semi contiuity in topological spaces, Amer. Math. Monthly., 70(1963), 36-41.
  • [14] Maheshwari S.N., Tiwari R.K., A note on weak pairwise continuity, J. Indian Acad. Math., 10(2)(1988), 61-63.
  • [15] Mashhour A.S., Hasanein I.A., El-Deeb S.N., On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt, 53(1982), 47-53.
  • [16] Mashhour A.S., Abd El-Monsef M.E., Hasanein I.A., Noiri T., Strongly compact spaces, Delta J. Sci., 8(1984), 30-46.
  • [17] Murudeshwar M.G., Naimpally S.A., Semi-Hausdorff spaces, Canad. Math. Bull., 9(1996), 353-356.
  • [18] Njastad O., On some classes of nearly open sets, Pacific J. Math., 15(1965),961-970.
  • [19] Pervin W.J., Connectedness in bitopological spaces, Indag. Math., 29(1967), 369-372.
  • [20] Popa V., Properties of H-almost continuous mappings, Bull. Math. Soc. Sci. Math. R. S. Roumanie (N. S), 31(79)(1987), 163-168.
  • [21] Reilly I.L., Vamanamurthy M.K., On some questions concerning preopen sets, Kyungpook Math. J., 30(1)(1990), 87-93.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP3-0002-0052
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