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Decompositions of πg-Continuity via Idealization

Year 2014, Volume: 3 Issue: 7, 72 - 80, 01.07.2014

Abstract

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

References

  • 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.
Year 2014, Volume: 3 Issue: 7, 72 - 80, 01.07.2014

Abstract

References

  • 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.
There are 23 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

O. Ravi This is me

R.senthil Kumarb This is me

A.hamari Choudhic This is me

Publication Date July 1, 2014
Published in Issue Year 2014 Volume: 3 Issue: 7

Cite

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. July 2014;3(7):72-80.
Chicago Ravi, O., R.senthil Kumarb, and A.hamari Choudhic. “Decompositions of πg-Continuity via Idealization”. Journal of New Results in Science 3, no. 7 (July 2014): 72-80.
EndNote Ravi O, Kumarb R, Choudhic A (July 1, 2014) Decompositions of πg-Continuity via Idealization. Journal of New Results in Science 3 7 72–80.
IEEE O. Ravi, R. Kumarb, and A. Choudhic, “Decompositions of πg-Continuity via Idealization”, JNRS, vol. 3, no. 7, pp. 72–80, 2014.
ISNAD Ravi, O. et al. “Decompositions of πg-Continuity via Idealization”. Journal of New Results in Science 3/7 (July 2014), 72-80.
JAMA Ravi O, Kumarb R, Choudhic A. Decompositions of πg-Continuity via Idealization. JNRS. 2014;3:72–80.
MLA Ravi, O. et al. “Decompositions of πg-Continuity via Idealization”. Journal of New Results in Science, vol. 3, no. 7, 2014, pp. 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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