Asian Journal of Information Technology

Year: 2017
Volume: 16
Issue: 2
Page No. 333 - 336

On βg (θ) Coenvergence and Adherence in Topological Spaces via Grill

Authors : K. Kannan and N. Nagaveni

Abstract: A new class of sets called β-generalized closed sets and β-generalized open sets in topological spaces and its properties are studied. A subset A of a topological spaces (X, τ) is called β-generalized closed sets (briefly βg-closed) if cl(int(cl(A))) contains U whenever A contains U and U is open in X. A new class of βg-continuous maps and βg-irresolute maps in topological spaces and study some of its basic properties. In this study, we introduce the notion of βg (θ) convergence and βg (θ)-adherence in grill topological spaces and study some of its basic properties and relations among them.

How to cite this article:

K. Kannan and N. Nagaveni, 2017. On βg (θ) Coenvergence and Adherence in Topological Spaces via Grill. Asian Journal of Information Technology, 16: 333-336.

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