Araştırma Makalesi
BibTex RIS Kaynak Göster

Bitopological S-Cluster Sets

Yıl 2009, Cilt: 38 Sayı: 2, 145 - 151, 01.02.2009

Öz

Kaynakça

  • Banerjee, G. K. On pairwise almost strongly θ-continuous mappings, Bull. Calcutta Math. Soc. 79, 314–320, 1987.
  • Bose, S. Semi open sets, semi continuity and semi open mappings in bitopological spaces, Bull. Calcutta Math. Soc. 73, 237–246, 1981.
  • Hamlett, T. R. Cluster sets in general topology, J. London Math. Soc. 12 (2), 192–198, 1975/76.
  • Joseph, J. E. Multifunctions and cluster sets, Proc. Amer. Math. Soc. 74 (2), 329–337, 1979. [5] Kelly, J. C. Bitopological spaces, Proc. London Math. Soc. 13 (3), 71–89, 1963.
  • Khedr, F. H. θ-Irresolute mappings in bitopological spaces, Arab. J. Sci. Engin. 16 (3), 423– 426, 1991.
  • Khedr, F. H. and Al-Areefi, S. M. θ-Connectedness and δ-connectedness in bitopological spaces, Arab. J. Sci. Engin. 18 (1), 51–56, 1993. [8] Khedr, F. H. and Al-Shibani, A. M. Weakly and strongly θ-irresolute functions in bitopolog- ical spaces, Bull. Fac. Sci. Assiut Univ. 23 (1-c), 69–79, 1994.
  • Mukherjee, M. N. On pairwise S-closed bitopological spaces, Internat. J. Math. Math. Sci. 8(4), 729–745, 1985.
  • Mukherjee, M. N. and Debray, A. On S-cluster sets and S-closed spaces, Internat. J. Math. Math. Sci. 23 (9), 597–603, 2000.
  • Nandi, J. N. and Mukherjee, M. N. Bitopological δ-cluster sets and some applications, Indian J. Pure and Appl. Math. 29 (8), 837–848, 1998. [12] Sen, S. K., Nandi, J. N. and Mukherjee, M. N. On bitopological QHC-spaces, Indian J. Pure Appl. Math. 27 (3), 245–255, 1996.
  • Singal, A. R. and Arya, S. P. On pairwise almost regular sets, Glasnik Math. 26, 335–343, 1971.
  • Singal, M. K. and Singal, A. R. Some more separation axioms in bitopological spaces, Ann. Soc. Sci. Bruxelles, Ser. I 84 (2), 207–230, 1970. [15] Weston, J. D. Some theorems on cluster sets, J. London Math. Soc. 33, 435–441, 1958.

Bitopological S-Cluster Sets

Yıl 2009, Cilt: 38 Sayı: 2, 145 - 151, 01.02.2009

Öz

A new type of cluster set called an S-cluster set of functions and multifunctions between bitopological spaces has been introduced. Expressions and conditions for the degeneracy of such sets are also found. As an application, characterizations of Hausdorff and S-closed bitopological spaces are achieved via such cluster sets.

Kaynakça

  • Banerjee, G. K. On pairwise almost strongly θ-continuous mappings, Bull. Calcutta Math. Soc. 79, 314–320, 1987.
  • Bose, S. Semi open sets, semi continuity and semi open mappings in bitopological spaces, Bull. Calcutta Math. Soc. 73, 237–246, 1981.
  • Hamlett, T. R. Cluster sets in general topology, J. London Math. Soc. 12 (2), 192–198, 1975/76.
  • Joseph, J. E. Multifunctions and cluster sets, Proc. Amer. Math. Soc. 74 (2), 329–337, 1979. [5] Kelly, J. C. Bitopological spaces, Proc. London Math. Soc. 13 (3), 71–89, 1963.
  • Khedr, F. H. θ-Irresolute mappings in bitopological spaces, Arab. J. Sci. Engin. 16 (3), 423– 426, 1991.
  • Khedr, F. H. and Al-Areefi, S. M. θ-Connectedness and δ-connectedness in bitopological spaces, Arab. J. Sci. Engin. 18 (1), 51–56, 1993. [8] Khedr, F. H. and Al-Shibani, A. M. Weakly and strongly θ-irresolute functions in bitopolog- ical spaces, Bull. Fac. Sci. Assiut Univ. 23 (1-c), 69–79, 1994.
  • Mukherjee, M. N. On pairwise S-closed bitopological spaces, Internat. J. Math. Math. Sci. 8(4), 729–745, 1985.
  • Mukherjee, M. N. and Debray, A. On S-cluster sets and S-closed spaces, Internat. J. Math. Math. Sci. 23 (9), 597–603, 2000.
  • Nandi, J. N. and Mukherjee, M. N. Bitopological δ-cluster sets and some applications, Indian J. Pure and Appl. Math. 29 (8), 837–848, 1998. [12] Sen, S. K., Nandi, J. N. and Mukherjee, M. N. On bitopological QHC-spaces, Indian J. Pure Appl. Math. 27 (3), 245–255, 1996.
  • Singal, A. R. and Arya, S. P. On pairwise almost regular sets, Glasnik Math. 26, 335–343, 1971.
  • Singal, M. K. and Singal, A. R. Some more separation axioms in bitopological spaces, Ann. Soc. Sci. Bruxelles, Ser. I 84 (2), 207–230, 1970. [15] Weston, J. D. Some theorems on cluster sets, J. London Math. Soc. 33, 435–441, 1958.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular İstatistik
Bölüm Matematik
Yazarlar

S.m. Al-areefi Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2009
Yayımlandığı Sayı Yıl 2009 Cilt: 38 Sayı: 2

Kaynak Göster

APA Al-areefi, S. (2009). Bitopological S-Cluster Sets. Hacettepe Journal of Mathematics and Statistics, 38(2), 145-151.
AMA Al-areefi S. Bitopological S-Cluster Sets. Hacettepe Journal of Mathematics and Statistics. Şubat 2009;38(2):145-151.
Chicago Al-areefi, S.m. “Bitopological S-Cluster Sets”. Hacettepe Journal of Mathematics and Statistics 38, sy. 2 (Şubat 2009): 145-51.
EndNote Al-areefi S (01 Şubat 2009) Bitopological S-Cluster Sets. Hacettepe Journal of Mathematics and Statistics 38 2 145–151.
IEEE S. Al-areefi, “Bitopological S-Cluster Sets”, Hacettepe Journal of Mathematics and Statistics, c. 38, sy. 2, ss. 145–151, 2009.
ISNAD Al-areefi, S.m. “Bitopological S-Cluster Sets”. Hacettepe Journal of Mathematics and Statistics 38/2 (Şubat 2009), 145-151.
JAMA Al-areefi S. Bitopological S-Cluster Sets. Hacettepe Journal of Mathematics and Statistics. 2009;38:145–151.
MLA Al-areefi, S.m. “Bitopological S-Cluster Sets”. Hacettepe Journal of Mathematics and Statistics, c. 38, sy. 2, 2009, ss. 145-51.
Vancouver Al-areefi S. Bitopological S-Cluster Sets. Hacettepe Journal of Mathematics and Statistics. 2009;38(2):145-51.