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Tritopological Views in Product Spaces

Year 2020, Issue: 30, 69 - 78, 26.03.2020

Abstract

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.

References

  • 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.
Year 2020, Issue: 30, 69 - 78, 26.03.2020

Abstract

References

  • 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.
There are 12 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Asmhan Flieh Hassan This is me

Publication Date March 26, 2020
Submission Date May 7, 2019
Published in Issue Year 2020 Issue: 30

Cite

APA Hassan, A. F. (2020). Tritopological Views in Product Spaces. Journal of New Theory(30), 69-78.
AMA Hassan AF. Tritopological Views in Product Spaces. JNT. March 2020;(30):69-78.
Chicago Hassan, Asmhan Flieh. “Tritopological Views in Product Spaces”. Journal of New Theory, no. 30 (March 2020): 69-78.
EndNote Hassan AF (March 1, 2020) Tritopological Views in Product Spaces. Journal of New Theory 30 69–78.
IEEE A. F. Hassan, “Tritopological Views in Product Spaces”, JNT, no. 30, pp. 69–78, March 2020.
ISNAD Hassan, Asmhan Flieh. “Tritopological Views in Product Spaces”. Journal of New Theory 30 (March 2020), 69-78.
JAMA Hassan AF. Tritopological Views in Product Spaces. JNT. 2020;:69–78.
MLA Hassan, Asmhan Flieh. “Tritopological Views in Product Spaces”. Journal of New Theory, no. 30, 2020, pp. 69-78.
Vancouver Hassan AF. Tritopological Views in Product Spaces. JNT. 2020(30):69-78.


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