BibTex RIS Kaynak Göster

More on α-topological spaces

Yıl 2017, Cilt: 66 Sayı: 2, 323 - 331, 01.08.2017
https://doi.org/10.1501/Commua1_0000000822

Öz

The aim of this paper is to introduce a new topology with the help of a-open sets. For this job, we shall define two new types of set and discuss its properties in detail and characterize Njastad’ssemi-open sets through these new types of set.-open sets and Levine’s

Kaynakça

  • Al-Omari, W., Noorani, M., Noiri, T. and Al-Omari, A.: The
  • Al-Omari, W., Noorani, M. and Al-Omari, A.: a-local function and its properties in ideal topological spaces, Fasc. Math., 53, 1-15 (2014).
  • Andrijevic, D.: On the topology generated by preopen sets, Math. Bech., 39, 367-376 (1987).
  • Arenas, F. G., Dontchev J. and Puertas, M L.: Idealization of some weak separation axioms, Acta Math. hungar., 89, 47-53 (2000).
  • Chattopadhyay C. and Roy, U. K.: sets, irresolvable and resolvable space, Math. Solvaca., , 371-378 (1992).
  • Dontchev, J., Ganster, M. and Rose, D.: Ideal reslovalibity, Topology and its Appl., 93, 1-16 (1999).
  • Ekici, E.: On a-open sets, A -sets and decompositions of continuity and supra-continuity, Annales Univ. Sci. Budapest., 51, 39-51 (2008).
  • Ekici, E.: A note on a-open sets and e -open sets, Filomat, 22, 89-96 (2008).
  • Ekici, E.: New forms of contra-continuity, Carpathian J. Math., 24, 37-45 (2008).
  • Ekici, E.: Some generalizations of almost contra-super-continuity, Filomat, 21, 31-44 (2007).
  • Hamlett, T. R. and Jankovic, D.: Ideals in topological spaces and the set operator , Bull. U.M.I., 7, 863-874 (1990).
  • Hewitt, E.: A problem of set theoretic topology, Duke Math. J., 10, 309-333 (1943).
  • Jankovic, D. and Hamlett T. R.: New topologies from old via ideal, Amer. Math. Monthly., , 295-310 (1990).
  • Kuratowski, K.: Topology, Vol. I, New York, Academic Press, 1966.
  • Levine, N.: Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, , 36-41 (1963).
  • Mukherjee, M. N., Roy B. and Sen, R.: On extension of topological spaces in terms of ideals, Topology and its Appl., 154, 3167-3172 (2007).
  • Nasef, A. A. and Mahmoud, R. A.: Some applications via fuzzy ideals, chaos Solutions Fractals, 13, 825-831 (2002).
  • Navaneethakrishnan, M. and Paulraj, J.: g-closed sets in ideal topological space, Acta Math. Hungar., 119, 365-371 (2008).
  • Njastad, O.: On some classes of nearly open sets, Paci…c J Math., 15, 961-970 (1965).
  • Stone, M. H.: Application of the theory of boolean rings to genearted topology, Trans. Amer. Math. Soc., 41, 375-381 (1937).
  • Vaidyanathaswamy, R.: The localization theory in set-topology, Proc. Indian Acad. Sci., 20, 61 (1945).
  • Velicko, N. V.: H-closed topological spaces, Amer. Math. Soc. Trans., 78, 103-118 (1968).
  • Current address : Shyamapada Modak: Department of Mathematics, University of Gour Banga P.O. Mokdumpur, Malda - 732103, India
  • E-mail address : spmodak2000@yahoo.co.in
  • Current address : Md. Monirul Islam: Department of Mathematics, University of Gour Banga P.O. Mokdumpur, Malda - 732103, India
  • E-mail address : moni.math007@gmail.com
Yıl 2017, Cilt: 66 Sayı: 2, 323 - 331, 01.08.2017
https://doi.org/10.1501/Commua1_0000000822

Öz

Kaynakça

  • Al-Omari, W., Noorani, M., Noiri, T. and Al-Omari, A.: The
  • Al-Omari, W., Noorani, M. and Al-Omari, A.: a-local function and its properties in ideal topological spaces, Fasc. Math., 53, 1-15 (2014).
  • Andrijevic, D.: On the topology generated by preopen sets, Math. Bech., 39, 367-376 (1987).
  • Arenas, F. G., Dontchev J. and Puertas, M L.: Idealization of some weak separation axioms, Acta Math. hungar., 89, 47-53 (2000).
  • Chattopadhyay C. and Roy, U. K.: sets, irresolvable and resolvable space, Math. Solvaca., , 371-378 (1992).
  • Dontchev, J., Ganster, M. and Rose, D.: Ideal reslovalibity, Topology and its Appl., 93, 1-16 (1999).
  • Ekici, E.: On a-open sets, A -sets and decompositions of continuity and supra-continuity, Annales Univ. Sci. Budapest., 51, 39-51 (2008).
  • Ekici, E.: A note on a-open sets and e -open sets, Filomat, 22, 89-96 (2008).
  • Ekici, E.: New forms of contra-continuity, Carpathian J. Math., 24, 37-45 (2008).
  • Ekici, E.: Some generalizations of almost contra-super-continuity, Filomat, 21, 31-44 (2007).
  • Hamlett, T. R. and Jankovic, D.: Ideals in topological spaces and the set operator , Bull. U.M.I., 7, 863-874 (1990).
  • Hewitt, E.: A problem of set theoretic topology, Duke Math. J., 10, 309-333 (1943).
  • Jankovic, D. and Hamlett T. R.: New topologies from old via ideal, Amer. Math. Monthly., , 295-310 (1990).
  • Kuratowski, K.: Topology, Vol. I, New York, Academic Press, 1966.
  • Levine, N.: Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, , 36-41 (1963).
  • Mukherjee, M. N., Roy B. and Sen, R.: On extension of topological spaces in terms of ideals, Topology and its Appl., 154, 3167-3172 (2007).
  • Nasef, A. A. and Mahmoud, R. A.: Some applications via fuzzy ideals, chaos Solutions Fractals, 13, 825-831 (2002).
  • Navaneethakrishnan, M. and Paulraj, J.: g-closed sets in ideal topological space, Acta Math. Hungar., 119, 365-371 (2008).
  • Njastad, O.: On some classes of nearly open sets, Paci…c J Math., 15, 961-970 (1965).
  • Stone, M. H.: Application of the theory of boolean rings to genearted topology, Trans. Amer. Math. Soc., 41, 375-381 (1937).
  • Vaidyanathaswamy, R.: The localization theory in set-topology, Proc. Indian Acad. Sci., 20, 61 (1945).
  • Velicko, N. V.: H-closed topological spaces, Amer. Math. Soc. Trans., 78, 103-118 (1968).
  • Current address : Shyamapada Modak: Department of Mathematics, University of Gour Banga P.O. Mokdumpur, Malda - 732103, India
  • E-mail address : spmodak2000@yahoo.co.in
  • Current address : Md. Monirul Islam: Department of Mathematics, University of Gour Banga P.O. Mokdumpur, Malda - 732103, India
  • E-mail address : moni.math007@gmail.com
Toplam 26 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Shyamapada Modak Bu kişi benim

Monirul Islam Md. Bu kişi benim

Yayımlanma Tarihi 1 Ağustos 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 66 Sayı: 2

Kaynak Göster

APA Modak, S., & Islam Md., M. (2017). More on α-topological spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66(2), 323-331. https://doi.org/10.1501/Commua1_0000000822
AMA Modak S, Islam Md. M. More on α-topological spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Ağustos 2017;66(2):323-331. doi:10.1501/Commua1_0000000822
Chicago Modak, Shyamapada, ve Monirul Islam Md. “More on α-Topological Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66, sy. 2 (Ağustos 2017): 323-31. https://doi.org/10.1501/Commua1_0000000822.
EndNote Modak S, Islam Md. M (01 Ağustos 2017) More on α-topological spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 2 323–331.
IEEE S. Modak ve M. Islam Md., “More on α-topological spaces”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 66, sy. 2, ss. 323–331, 2017, doi: 10.1501/Commua1_0000000822.
ISNAD Modak, Shyamapada - Islam Md., Monirul. “More on α-Topological Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66/2 (Ağustos 2017), 323-331. https://doi.org/10.1501/Commua1_0000000822.
JAMA Modak S, Islam Md. M. More on α-topological spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66:323–331.
MLA Modak, Shyamapada ve Monirul Islam Md. “More on α-Topological Spaces”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 66, sy. 2, 2017, ss. 323-31, doi:10.1501/Commua1_0000000822.
Vancouver Modak S, Islam Md. M. More on α-topological spaces. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66(2):323-31.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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