KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2009 / Cilt: 38 - Sayı: 2

Bitopological S-Cluster Sets

S. M. AL-AREEFİ
Sayfa
145–151
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

As an application, characterizations of Hausdorff and S-closed bitopological spaces are achieved via such cluster sets.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:A new type of cluster set called an S-cluster set of functions and multifunctions between bitopological spaces has been introduced.
📊
Temel Bulgular & Veri:Expressions and conditions for the degeneracy of such sets are also found.
💡
Sonuç & Katkı:As an application, characterizations of Hausdorff and S-closed bitopological spaces are achieved via such cluster sets.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Bitopological spaces · ij - S-cluster sets · ij-semi open sets

Abstract

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.

🔖

Bu Makaleye Atıf Yap

AL-AREEFİ, S. M. (2022). Bitopological S-Cluster Sets. Hacettepe Journal of Mathematics and Statistics, Cilt: 38 - Sayı: 2, 145–151. https://ajindex.com/articles/530691

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (10)

  1. Banerjee, G. K. On pairwise almost strongly θ-continuous mappings, Bull. Calcutta Math. Soc. 79, 314–320, 1987.
  2. Bose, S. Semi open sets, semi continuity and semi open mappings in bitopological spaces, Bull. Calcutta Math. Soc. 73, 237–246, 1981.
  3. 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.
  4. Khedr, F. H. θ-Irresolute mappings in bitopological spaces, Arab. J. Sci. Engin. 16 (3), 423– 426, 1991.
  5. 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.
  6. Mukherjee, M. N. On pairwise S-closed bitopological spaces, Internat. J. Math. Math. Sci. 8(4), 729–745, 1985.
  7. Mukherjee, M. N. and Debray, A. On S-cluster sets and S-closed spaces, Internat. J. Math. Math. Sci. 23 (9), 597–603, 2000.
  8. 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.
  9. Singal, A. R. and Arya, S. P. On pairwise almost regular sets, Glasnik Math. 26, 335–343, 1971.
  10. 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.