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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, Number 3, Pages 70–80
(Mi basm239)
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Research articles
Some more results on $b$-$\theta$-open sets
N. Rajesha, Z. Sallehb a Department of Mathematics, Kongu Engineering College, Perundurai, TamilNadu, India
b Institute for Mathematical Research, University Putra Malaysia, Serdang, Selangor, Malaysia
Abstract:
In this paper, we consider the class of $b$-$\theta$-open sets in topological spaces and investigate some of their properties. We also present and study some weak separation axioms by involving the notion of $b$-$\theta$-open sets. We define the concepts of $b$-$\theta$-kernal of sets and slightly $b$-$\theta$-$R_0$ spaces. We apply them to investigate some properties of the graph functions.
Keywords and phrases:
topological spaces, $b$-open sets, $b$-closure, $b$-$\theta$-open sets.
Received: 19.02.2008
Citation:
N. Rajesh, Z. Salleh, “Some more results on $b$-$\theta$-open sets”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, no. 3, 70–80
Linking options:
https://www.mathnet.ru/eng/basm239 https://www.mathnet.ru/eng/basm/y2009/i3/p70
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