BibTex RIS Kaynak Göster

Decompositions of πg-Continuity via Idealization

Yıl 2014, Cilt: 3 Sayı: 7, 72 - 80, 01.07.2014

Öz

I-open sets, πgp-I-open sets, Er-I-sets and E∗-I-sets in idealIn this paper, we introduce the notions of πgα

Kaynakça

  • Andrijevic, D.: Semi-preopen sets, Mat. Vesnik, 38(1)(1986), 24-32.
  • Arockiarani, I., Balachandran, K. and Janaki, C.: On contra-πgα-continuous func- tions, Kochi J. Math., 3(2008), 201-209.
  • Balachandran, K., Sundaram, P. and Maki, H.: On generalized continuous maps in topological spaces, Mem. Fac. Sci. Kochi Univ. Ser. A. Math., 12(1991), 5-13.
  • Dontchev, J.: On pre-I-open sets and a decomposition of I-continuity, Banyan Math. J., 2(1996).
  • Dontchev, J. and Noiri, T.: Quasi-normal spaces and πg-closed sets, Acta Math. Hungar., 89(3)(2000), 211-219.
  • Hatir, E. and Noiri, T.: On decompositions of continuity via idealization, Acta Math. Hungar., 96(4)(2002), 341-349.
  • Hatir, E., Noiri, T. and Yuksel, S.: A decomposition of continuity, Acta Math. Hungar., 70(1996), 145-150.
  • Hayashi, E.: Topologies defined by local properties, Math. Ann. 156(1964), 205- 2
  • Jankovic, D. and Hamlett, T. R.: New topologies from old via ideals, Amer. Math. Monthly, 97(4)(1990), 295-310.
  • Kuratowski, K.: Topology, Vol. 1, Academic Press, New York (1966).
  • Levine, N.: Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
  • Levine, N.: A decomposition of continuity in topological spaces, Amer. Math. Monthly, 68(1961), 44-46.
  • Levine, N.: Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19(2)(1970), 89-96.
  • Mashhour, A. S., Abd El-Monsef, M. E. and El-Deeb, S. N.: On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt, 53(1982), 47-53.
  • Njastad, O.: On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-9
  • Noiri, T., Rajamani, M. and Inthumathi, V.: On decompositions of g-continuity via idealization, Bull. Cal. Math. Soc., 99(4)(2007), 415-424.
  • Noiri, T., Rajamani, M. and Inthumathi, V.: Some decompositions of regular generalized continuity via idealization, Kochi J. Math., 5(2010), 87-95.
  • Palaniappan, N. and Rao, K. C.: Regular generalized closed sets, Kyungpook Math. J., 33(1993), 211-219.
  • Park, J. H, Son, M. J. and Lee, B. Y.: On πgp-closed sets in topological spaces, Indian J. Pure Appl. Math., (In press). Ravi, O., Pandi, A., Senthil kumar, R. and Muthulakshmi, A.: Some decomposi- tions of πg-continuity, Submitted. Stone, M. H.: Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc., 41(1937), 375-481.
  • Sundaram, P. and Rajamani, M.: Some decompositions of regular generalized continuous maps in topological spaces, Far East J. Math. Sci., special volume, Part II, (2000), 179-188.
  • Tong, J.: On decomposition of continuity in topological spaces, Acta Math. Hun- gar., 54(1989), 51-55.
  • Vaidyanathaswamy, R.: The localization theory in set topology, Proc. Indian Acad. Sci., Sect A, 20(1944), 51-61.
  • Zaitsev, V.: On certain classes of topological spaces and their bicompactifications, Dokl. Akad. Nauk. SSSR, 178(1968), 778-779.
Yıl 2014, Cilt: 3 Sayı: 7, 72 - 80, 01.07.2014

Öz

Kaynakça

  • Andrijevic, D.: Semi-preopen sets, Mat. Vesnik, 38(1)(1986), 24-32.
  • Arockiarani, I., Balachandran, K. and Janaki, C.: On contra-πgα-continuous func- tions, Kochi J. Math., 3(2008), 201-209.
  • Balachandran, K., Sundaram, P. and Maki, H.: On generalized continuous maps in topological spaces, Mem. Fac. Sci. Kochi Univ. Ser. A. Math., 12(1991), 5-13.
  • Dontchev, J.: On pre-I-open sets and a decomposition of I-continuity, Banyan Math. J., 2(1996).
  • Dontchev, J. and Noiri, T.: Quasi-normal spaces and πg-closed sets, Acta Math. Hungar., 89(3)(2000), 211-219.
  • Hatir, E. and Noiri, T.: On decompositions of continuity via idealization, Acta Math. Hungar., 96(4)(2002), 341-349.
  • Hatir, E., Noiri, T. and Yuksel, S.: A decomposition of continuity, Acta Math. Hungar., 70(1996), 145-150.
  • Hayashi, E.: Topologies defined by local properties, Math. Ann. 156(1964), 205- 2
  • Jankovic, D. and Hamlett, T. R.: New topologies from old via ideals, Amer. Math. Monthly, 97(4)(1990), 295-310.
  • Kuratowski, K.: Topology, Vol. 1, Academic Press, New York (1966).
  • Levine, N.: Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70(1963), 36-41.
  • Levine, N.: A decomposition of continuity in topological spaces, Amer. Math. Monthly, 68(1961), 44-46.
  • Levine, N.: Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19(2)(1970), 89-96.
  • Mashhour, A. S., Abd El-Monsef, M. E. and El-Deeb, S. N.: On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt, 53(1982), 47-53.
  • Njastad, O.: On some classes of nearly open sets, Pacific J. Math., 15(1965), 961-9
  • Noiri, T., Rajamani, M. and Inthumathi, V.: On decompositions of g-continuity via idealization, Bull. Cal. Math. Soc., 99(4)(2007), 415-424.
  • Noiri, T., Rajamani, M. and Inthumathi, V.: Some decompositions of regular generalized continuity via idealization, Kochi J. Math., 5(2010), 87-95.
  • Palaniappan, N. and Rao, K. C.: Regular generalized closed sets, Kyungpook Math. J., 33(1993), 211-219.
  • Park, J. H, Son, M. J. and Lee, B. Y.: On πgp-closed sets in topological spaces, Indian J. Pure Appl. Math., (In press). Ravi, O., Pandi, A., Senthil kumar, R. and Muthulakshmi, A.: Some decomposi- tions of πg-continuity, Submitted. Stone, M. H.: Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc., 41(1937), 375-481.
  • Sundaram, P. and Rajamani, M.: Some decompositions of regular generalized continuous maps in topological spaces, Far East J. Math. Sci., special volume, Part II, (2000), 179-188.
  • Tong, J.: On decomposition of continuity in topological spaces, Acta Math. Hun- gar., 54(1989), 51-55.
  • Vaidyanathaswamy, R.: The localization theory in set topology, Proc. Indian Acad. Sci., Sect A, 20(1944), 51-61.
  • Zaitsev, V.: On certain classes of topological spaces and their bicompactifications, Dokl. Akad. Nauk. SSSR, 178(1968), 778-779.
Toplam 23 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

O. Ravi Bu kişi benim

R.senthil Kumarb Bu kişi benim

A.hamari Choudhic Bu kişi benim

Yayımlanma Tarihi 1 Temmuz 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 3 Sayı: 7

Kaynak Göster

APA Ravi, O., Kumarb, R., & Choudhic, A. (2014). Decompositions of πg-Continuity via Idealization. Journal of New Results in Science, 3(7), 72-80.
AMA Ravi O, Kumarb R, Choudhic A. Decompositions of πg-Continuity via Idealization. JNRS. Temmuz 2014;3(7):72-80.
Chicago Ravi, O., R.senthil Kumarb, ve A.hamari Choudhic. “Decompositions of πg-Continuity via Idealization”. Journal of New Results in Science 3, sy. 7 (Temmuz 2014): 72-80.
EndNote Ravi O, Kumarb R, Choudhic A (01 Temmuz 2014) Decompositions of πg-Continuity via Idealization. Journal of New Results in Science 3 7 72–80.
IEEE O. Ravi, R. Kumarb, ve A. Choudhic, “Decompositions of πg-Continuity via Idealization”, JNRS, c. 3, sy. 7, ss. 72–80, 2014.
ISNAD Ravi, O. vd. “Decompositions of πg-Continuity via Idealization”. Journal of New Results in Science 3/7 (Temmuz 2014), 72-80.
JAMA Ravi O, Kumarb R, Choudhic A. Decompositions of πg-Continuity via Idealization. JNRS. 2014;3:72–80.
MLA Ravi, O. vd. “Decompositions of πg-Continuity via Idealization”. Journal of New Results in Science, c. 3, sy. 7, 2014, ss. 72-80.
Vancouver Ravi O, Kumarb R, Choudhic A. Decompositions of πg-Continuity via Idealization. JNRS. 2014;3(7):72-80.


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