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New generalized classes of an ideal nanotopological space. (English) Zbl 1463.54008

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.)
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