Some topological notations via Maki's \(\Lambda \)-sets (Q2187056)

Summary: Our purpose is to present the notions of a \(\beta\)-\(\Lambda \)-set and a \(\beta\)-\(V\)-sets in topological space. We discuss the basic properties of \(\beta\)-\(\Lambda \)-sets and \(\beta\)-\(V\)-sets. Also, the achievement of the topology defined by these families of sets is obtained. Finally, these results are applied to the case of \(\left( X , \tau\right)\) which is the digital \(n\)-space \(\left( Z^n , K^n\right)\) (cf. Section 4).