Research Article

Tritopological Views in Product Spaces

Number: 30 March 26, 2020
  • Asmhan Flieh Hassan *
EN

Tritopological Views in Product Spaces

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.

Keywords

References

  1. N. Tychonoff, Andrey, Über die topologische Erweiterung von Räumen, Mathematische Annalen (in German), 102 (1) (1930) 544-561, doi:10.1007/BF01782364
  2. J. C. Kelly, Bitopological Spaces, Proceedings of the London Mathematical Society (3)13 (1963) 71-89.
  3. M. C. Datta, Projective Bitopological Spaces, Journal of the Australian Mathematical Society 13 (1972) 327-334.
  4. M. Kovar, On 3-Topological Version of Theta- Regularity. International Journal of Mathematics and Mathematical Sciences 23(6) (2000) 393-398.
  5. A. F. Hassan, δ^*-Open set in Tritopological Spaces, M.Sc. thesis, Kufa University (2004).
  6. A. F. Hassan, δ^*-Connectedness in Tritopological Space, Journal of Thi-Qar University 6(3) (2011) 20-28.
  7. A. F. Hassan, T. A. Neeran, Y. Alyaa, δ^*-base for a Tritopology, Journal of Kerbala University 9(3) (2011) 344-352.
  8. 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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Asmhan Flieh Hassan * This is me
Iraq

Publication Date

March 26, 2020

Submission Date

May 7, 2019

Acceptance Date

March 12, 2020

Published in Issue

Year 2020 Number: 30

APA
Hassan, A. F. (2020). Tritopological Views in Product Spaces. Journal of New Theory, 30, 69-78. https://izlik.org/JA24XR48EW
AMA
1.Hassan AF. Tritopological Views in Product Spaces. JNT. 2020;(30):69-78. https://izlik.org/JA24XR48EW
Chicago
Hassan, Asmhan Flieh. 2020. “Tritopological Views in Product Spaces”. Journal of New Theory, nos. 30: 69-78. https://izlik.org/JA24XR48EW.
EndNote
Hassan AF (March 1, 2020) Tritopological Views in Product Spaces. Journal of New Theory 30 69–78.
IEEE
[1]A. F. Hassan, “Tritopological Views in Product Spaces”, JNT, no. 30, pp. 69–78, Mar. 2020, [Online]. Available: https://izlik.org/JA24XR48EW
ISNAD
Hassan, Asmhan Flieh. “Tritopological Views in Product Spaces”. Journal of New Theory. 30 (March 1, 2020): 69-78. https://izlik.org/JA24XR48EW.
JAMA
1.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, Mar. 2020, pp. 69-78, https://izlik.org/JA24XR48EW.
Vancouver
1.Asmhan Flieh Hassan. Tritopological Views in Product Spaces. JNT [Internet]. 2020 Mar. 1;(30):69-78. Available from: https://izlik.org/JA24XR48EW

 

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