Nethaji, Ochanan; Asokan, Raghavan; Rajasekaran, Ilangovan New generalized classes of an ideal nanotopological space. (English) Zbl 1463.54008 Bull. Int. Math. Virtual Inst. 9, No. 3, 543-552 (2019). Summary: In this paper, we introduce a new class of subsets called \(\xi\)-\(nI\)-open subsets and \(\mathcal{Q}\)-\(nI\)-closed subsets, where \(\xi\)-\(nI\)-open subsets are weaker than \(\alpha\)-\(nI\)-open subsets and \(\mathcal{Q}\)-\(nI\)-closed subsets are stronger than \(\beta\)-\(nI\)-open subsets. Also a new class of subsets called semi*-\(nI\)-closed subsets is introduced which are equivalent to \(t\)-\(nI\)-sets. MSC: 54A05 Topological spaces and generalizations (closure spaces, etc.) 54B05 Subspaces in general topology 54C05 Continuous maps 54C08 Weak and generalized continuity 54C10 Special maps on topological spaces (open, closed, perfect, etc.) Keywords:semi*-\(nI\)-closed set; \(\xi\)-\(nI\)-open set; \(\mathcal{Q}\)-\(nI\)-closed set; \(\alpha\)-\(nI\)-open set; \(\beta\)-\(nI\)-open set; \(n\)-codense; \(n*\)-codense PDFBibTeX XMLCite \textit{O. Nethaji} et al., Bull. Int. Math. Virtual Inst. 9, No. 3, 543--552 (2019; Zbl 1463.54008)