Öz
In this paper we define and study the product of tritopological spaces (which we named it δ^*-product). Moreover, to motivate our definition, we show that the product properties for tritopological spaces are not preserved. Further, we provide some necessary and sufficient conditions for these spaces to be preserved under a finite product.
Anahtar Kelimeler
Tritopological spaces δ^*-product of two tritopological spaces δ^*-Tychonoff tritopology
Kaynakça
- N. Tychonoff, Andrey, Über die topologische Erweiterung von Räumen, Mathematische Annalen (in German), 102 (1) (1930) 544-561, doi:10.1007/BF01782364
- J. C. Kelly, Bitopological Spaces, Proceedings of the London Mathematical Society (3)13 (1963) 71-89.
- M. C. Datta, Projective Bitopological Spaces, Journal of the Australian Mathematical Society 13 (1972) 327-334.
- M. Kovar, On 3-Topological Version of Theta- Regularity. International Journal of Mathematics and Mathematical Sciences 23(6) (2000) 393-398.
- A. F. Hassan, δ^*-Open set in Tritopological Spaces, M.Sc. thesis, Kufa University (2004).
- A. F. Hassan, δ^*-Connectedness in Tritopological Space, Journal of Thi-Qar University 6(3) (2011) 20-28.
- A. F. Hassan, T. A. Neeran, Y. Alyaa, δ^*-base for a Tritopology, Journal of Kerbala University 9(3) (2011) 344-352.
- A. F. Hassan, A. H. Hussain, A Relations among The Separation Axioms in Topological, Bitopological and Tritopological Spaces, Journal of Kerbala University 5(2) (2007) 155 -158.
- A. F. Hassan, A Relations among Some Kinds of Continuous and Open Functions in Topological, Bitopological and Tritopological Spaces, Journal of Basrah Researches(sciences) 35(4) (2009) 1-4.
- A. F. Hassan, Countability and Separability in Tritopological Spaces (δ^*-Countability and δ^*-Separability), Mathematical Theory and Modeling 7(1) (2017) 32-37.
- A. F. Hassan. Soft Tritopological Spaces, International Journal of Computer Applications 176(9) (2017) 26-30.
- S. Willard, General Topology, Addison-Wesley Publishing Co., Reading, MA, 1970.
Öz
Kaynakça
- N. Tychonoff, Andrey, Über die topologische Erweiterung von Räumen, Mathematische Annalen (in German), 102 (1) (1930) 544-561, doi:10.1007/BF01782364
- J. C. Kelly, Bitopological Spaces, Proceedings of the London Mathematical Society (3)13 (1963) 71-89.
- M. C. Datta, Projective Bitopological Spaces, Journal of the Australian Mathematical Society 13 (1972) 327-334.
- M. Kovar, On 3-Topological Version of Theta- Regularity. International Journal of Mathematics and Mathematical Sciences 23(6) (2000) 393-398.
- A. F. Hassan, δ^*-Open set in Tritopological Spaces, M.Sc. thesis, Kufa University (2004).
- A. F. Hassan, δ^*-Connectedness in Tritopological Space, Journal of Thi-Qar University 6(3) (2011) 20-28.
- A. F. Hassan, T. A. Neeran, Y. Alyaa, δ^*-base for a Tritopology, Journal of Kerbala University 9(3) (2011) 344-352.
- A. F. Hassan, A. H. Hussain, A Relations among The Separation Axioms in Topological, Bitopological and Tritopological Spaces, Journal of Kerbala University 5(2) (2007) 155 -158.
- A. F. Hassan, A Relations among Some Kinds of Continuous and Open Functions in Topological, Bitopological and Tritopological Spaces, Journal of Basrah Researches(sciences) 35(4) (2009) 1-4.
- A. F. Hassan, Countability and Separability in Tritopological Spaces (δ^*-Countability and δ^*-Separability), Mathematical Theory and Modeling 7(1) (2017) 32-37.
- A. F. Hassan. Soft Tritopological Spaces, International Journal of Computer Applications 176(9) (2017) 26-30.
- S. Willard, General Topology, Addison-Wesley Publishing Co., Reading, MA, 1970.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 26 Mart 2020 |
| Gönderilme Tarihi | 7 Mayıs 2019 |
| Yayımlandığı Sayı | Yıl 2020 Sayı: 30 |
Kaynak Göster
- Makale Dosyaları