New Separation Axioms in Bitopological Spaces

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Authors

  • M. Abo-Elhamayel
     Department of Mathematics, Faculty of Science, Mansoura University ,EG
  • Zabidin Salleh
     School of Informatics and Applied Mathematics, Universiti Malaysia Terengganu, 21030 Kuala Nerus, Terengganu ,MY

DOI:

https://doi.org/10.18311/jims/2019/22160

Keywords:

Bitopological spaces, Pairwise separation axioms, Rij-open sets, Rij-neighborhoods
54D10, 54D15, 54C05.

Abstract

In this paper, new concepts of separation axioms are intro- duced in bitopological spaces. The implications of these new separation axioms among themselves as well as with other known separation ax- ioms are obtained. Fundamental properties of the suggested concepts are also investigated. Furthermore, we introduced the concept of Rij - neighborhoods and investigate some of their characterizations.

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Published

2019-08-22

How to Cite

Abo-Elhamayel, M., & Salleh, Z. (2019). New Separation Axioms in Bitopological Spaces. The Journal of the Indian Mathematical Society, 86(3-4), 211–229. https://doi.org/10.18311/jims/2019/22160

Issue

Volume 86, Issue 3-4, July-December 2019

Section

Articles

License

Copyright (c) 2019 M. Abo-Elhamayel, Zabidin Salleh

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2018-09-04
Accepted 2019-03-20
Published 2019-08-22

 

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