New Notions via $b$-open Sets

Authors

  • N. Rajesh Department of Mathematics, Rajah Serfoji Govt. College, Tamilnadu, India
  • Z. Salleh Department of Mathematics, Faculty of Science and Technology, Universiti Malaysia Terengganu, Terengganu, Malaysia

DOI:

https://doi.org/10.5644/SJM.07.2.13

Keywords:

Topological spaces, $b$-$T_{1/2}$ spaces, $b$-open, $b$-kernal, $b$-closure

Abstract

In this paper, we introduce a new class of topological spaces called $b$-$T_{1/2}$ space in terms of the concept of $b$-open sets and $b$-kernal and investigate some of their fundamental properties and also introduce and study some new notions in topological spaces by utilizing $b$-open sets.

 

2000 Mathematics Subject Classification. 54D10

Author Biography

N. Rajesh, Department of Mathematics, Rajah Serfoji Govt. College, Tamilnadu, India




 

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References

D. Andrijevic, On b-open sets, Math. Vesnik, 48 (1996), 59-64.

D. Andrijevic, Semi-pre open sets, Math. Vesnik, 38 (1986), 24–32.

N. Bourbaki, Elemeuts de mathematique, Livre III, Topologie generale, Chap. IX, Paris, 1948.

M. Caldas and S. Jafari, On some applications of b-open sets in topological spaces, Kochi. J. Math., 2 (2007), 11–19.

H. H. Corson and E. Michael, Metrizability of certain countable unions, Illinois J. Math., 8 (1964), 351–360.

N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70 (1963), 36–41.

A. S. Mashhour, M. E. Ab-d El-Monsef and S. N. El-Deep, On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt, 53 (1982), 47–53.

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Published

10.06.2024

How to Cite

Rajesh, N., & Salleh, Z. (2024). New Notions via $b$-open Sets. Sarajevo Journal of Mathematics, 7(2), 289–296. https://doi.org/10.5644/SJM.07.2.13

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Articles