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.
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.