Araştırma Makalesi
BibTex RIS Kaynak Göster

Generalized Pre α-Closed Sets in Topology

Yıl 2018, Sayı: 20, 48 - 56, 26.01.2018

Öz

In this paper, a new class of sets called generalized pre α-closed sets are introduced and studied in topological spaces, which are properly placed between the class of pre closed and the class of generalized star pre closed (g*p-closed) sets.

Kaynakça

  • [1] D. Andrijevic, Semi-preopen sets, Mat. Vesnik, 38 (1) (1986) 24-32.
  • [2] S. P. Arya and T. M. Nour, Charactrezations of s-Normal spaces, Indian Jl.Pure and Appld.Math., 21 (1990) 717-719.
  • [3] S. S. Benchalli, P. G. Patil and T. D. Rayanagoudar, !®-closed sets in topo- logical spaces, The Global Jl. Appl. Maths and Math Sciences, 2 (2009) 53-63.
  • [4] P. Bhattacharya and B. K. Lahiri, Semi-generalized closed sets in topology, The Indian. Jl. Math, 29 (3) (1987) 375-382.
  • [5] J. Dontchev, On generalizing semi-preopen sets, Mem. Fac. Sci., Kochi Univ., Ser. A. Math, 16 (1995) 35-48.
  • [6] W. Dunham and N. Levine, Further results on generalized closed sets in topol- ogy, Kyungpook Math. Jl, 20 (1980) 169-175.
  • [7] Y. Gnanambal, On Generalized pre-regular closed sets in topological spaces, Indian Jl. Pure. Appl. Math. 28 (3) (1997) 351-360.
  • [8] S. Jafari, S. S. Benchalli, P. G. Patil and T. D. Rayanagoudar, Pre g*-closed sets in topological spaces, Jl. of Advanced Studies in Topology, 3 (2012) 55-59.
  • [9] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963) 36-41.
  • [10] N. Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19 (2)(1970) 89-96.
  • [11] H. Maki, Generalized ¤-sets and associated closure operator, The Special Issue in Commemoration of Prof. Kazusada IKEDA's Retirement, (1986) 139-146.
  • [12] H. Maki, R. Devi and K. Balachandran, Generalized ®-closed sets in topology, Bull. Fukuoka Uni. Ed. Part III, 42 (1993) 13-21.
  • [13] H. Maki, J.Umehare and T.Nori, Every topological space is Pre-T1=2, Mem.Fac.Soc.Kochi Univ.Math.,17(1996) 32-42.
  • [14] A. S. Mashhour, M. E. Abd El-Monesf and S. N. El-Deeb, On pre-continuous and weak pre continuous mappings, Proc. Math. Phys. Soc. Egypt 53 (1982) 47-53.
  • [15] A. S. Mashhour, M. E. Abd El-Monesf and S. N. El-Deeb, ®-continuous and ®-open mappings, Acta Math Hung. 41 (1983) 213-218.
  • [16] O. Njasted, On some classes of nearly open sets, Paci¯c Jl. Math, 15 (1965) 961-970.
  • [17] M. Stone, Absolutely FG spaces, Proc. Amer. Math. Soc., 80 (1980) 515-520.
  • [18] P. Sundaram and M. Sheik John, On !-closed sets in topology, Acta. Ciencia Indica, 4 (2000) 389-392.
  • [19] M. K. R. S. Veerakumar, g*pre-closed sets, Acta. Ciencia Indica, 28 (2002) 51-60.
Yıl 2018, Sayı: 20, 48 - 56, 26.01.2018

Öz

Kaynakça

  • [1] D. Andrijevic, Semi-preopen sets, Mat. Vesnik, 38 (1) (1986) 24-32.
  • [2] S. P. Arya and T. M. Nour, Charactrezations of s-Normal spaces, Indian Jl.Pure and Appld.Math., 21 (1990) 717-719.
  • [3] S. S. Benchalli, P. G. Patil and T. D. Rayanagoudar, !®-closed sets in topo- logical spaces, The Global Jl. Appl. Maths and Math Sciences, 2 (2009) 53-63.
  • [4] P. Bhattacharya and B. K. Lahiri, Semi-generalized closed sets in topology, The Indian. Jl. Math, 29 (3) (1987) 375-382.
  • [5] J. Dontchev, On generalizing semi-preopen sets, Mem. Fac. Sci., Kochi Univ., Ser. A. Math, 16 (1995) 35-48.
  • [6] W. Dunham and N. Levine, Further results on generalized closed sets in topol- ogy, Kyungpook Math. Jl, 20 (1980) 169-175.
  • [7] Y. Gnanambal, On Generalized pre-regular closed sets in topological spaces, Indian Jl. Pure. Appl. Math. 28 (3) (1997) 351-360.
  • [8] S. Jafari, S. S. Benchalli, P. G. Patil and T. D. Rayanagoudar, Pre g*-closed sets in topological spaces, Jl. of Advanced Studies in Topology, 3 (2012) 55-59.
  • [9] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963) 36-41.
  • [10] N. Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo, 19 (2)(1970) 89-96.
  • [11] H. Maki, Generalized ¤-sets and associated closure operator, The Special Issue in Commemoration of Prof. Kazusada IKEDA's Retirement, (1986) 139-146.
  • [12] H. Maki, R. Devi and K. Balachandran, Generalized ®-closed sets in topology, Bull. Fukuoka Uni. Ed. Part III, 42 (1993) 13-21.
  • [13] H. Maki, J.Umehare and T.Nori, Every topological space is Pre-T1=2, Mem.Fac.Soc.Kochi Univ.Math.,17(1996) 32-42.
  • [14] A. S. Mashhour, M. E. Abd El-Monesf and S. N. El-Deeb, On pre-continuous and weak pre continuous mappings, Proc. Math. Phys. Soc. Egypt 53 (1982) 47-53.
  • [15] A. S. Mashhour, M. E. Abd El-Monesf and S. N. El-Deeb, ®-continuous and ®-open mappings, Acta Math Hung. 41 (1983) 213-218.
  • [16] O. Njasted, On some classes of nearly open sets, Paci¯c Jl. Math, 15 (1965) 961-970.
  • [17] M. Stone, Absolutely FG spaces, Proc. Amer. Math. Soc., 80 (1980) 515-520.
  • [18] P. Sundaram and M. Sheik John, On !-closed sets in topology, Acta. Ciencia Indica, 4 (2000) 389-392.
  • [19] M. K. R. S. Veerakumar, g*pre-closed sets, Acta. Ciencia Indica, 28 (2002) 51-60.
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Bölüm Araştırma Makalesi
Yazarlar

Praveen Hanamantrao Patil Bu kişi benim

Prakashgouda Guranagouda Patil

Yayımlanma Tarihi 26 Ocak 2018
Gönderilme Tarihi 7 Aralık 2017
Yayımlandığı Sayı Yıl 2018 Sayı: 20

Kaynak Göster

APA Patil, P. H., & Patil, P. G. (2018). Generalized Pre α-Closed Sets in Topology. Journal of New Theory(20), 48-56.
AMA Patil PH, Patil PG. Generalized Pre α-Closed Sets in Topology. JNT. Ocak 2018;(20):48-56.
Chicago Patil, Praveen Hanamantrao, ve Prakashgouda Guranagouda Patil. “Generalized Pre Α-Closed Sets in Topology”. Journal of New Theory, sy. 20 (Ocak 2018): 48-56.
EndNote Patil PH, Patil PG (01 Ocak 2018) Generalized Pre α-Closed Sets in Topology. Journal of New Theory 20 48–56.
IEEE P. H. Patil ve P. G. Patil, “Generalized Pre α-Closed Sets in Topology”, JNT, sy. 20, ss. 48–56, Ocak 2018.
ISNAD Patil, Praveen Hanamantrao - Patil, Prakashgouda Guranagouda. “Generalized Pre Α-Closed Sets in Topology”. Journal of New Theory 20 (Ocak 2018), 48-56.
JAMA Patil PH, Patil PG. Generalized Pre α-Closed Sets in Topology. JNT. 2018;:48–56.
MLA Patil, Praveen Hanamantrao ve Prakashgouda Guranagouda Patil. “Generalized Pre Α-Closed Sets in Topology”. Journal of New Theory, sy. 20, 2018, ss. 48-56.
Vancouver Patil PH, Patil PG. Generalized Pre α-Closed Sets in Topology. JNT. 2018(20):48-56.


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