Missouri Journal of Mathematical Sciences

On Generalized $\omega \beta$-Closed Sets

H. H. Aljarrah, M. S. M. Noorani, and T. Noiri

Full-text: Open access

Abstract

The aim of this paper is to introduce and study the class of $g\omega \beta$-closed sets. This class of sets is finer than $g$-closed sets and $\omega \beta- $closed sets. We study the fundamental properties of this class of sets. Further, we introduce and study $g\omega \beta$-open sets, $g\omega \beta$-neighborhoodsets, $g\omega \beta$-continuous functions, $g\omega \beta$-irresolute functions and $g\omega \beta$-closed functions.

Article information

Source
Missouri J. Math. Sci., Volume 26, Issue 1 (2014), 70-87.

Dates
First available in Project Euclid: 10 July 2014

Permanent link to this document
https://projecteuclid.org/euclid.mjms/1404997111

Digital Object Identifier
doi:10.35834/mjms/1404997111

Mathematical Reviews number (MathSciNet)
MR3263543

Zentralblatt MATH identifier
1300.54020

Subjects
Primary: 54C05: Continuous maps
Secondary: 54C08: Weak and generalized continuity 54C10: Special maps on topological spaces (open, closed, perfect, etc.)

Keywords
$g\omega \beta$-closed $g\omega \beta$-open $g\omega \beta$-neighborhood cyclic group $g\omega \beta$-continuous $g\omega \beta$-irresolute $g\omega \beta$-closed functions

Citation

Aljarrah, H. H.; Noorani, M. S. M.; Noiri, T. On Generalized $\omega \beta$-Closed Sets. Missouri J. Math. Sci. 26 (2014), no. 1, 70--87. doi:10.35834/mjms/1404997111. https://projecteuclid.org/euclid.mjms/1404997111


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References

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