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On generalized closed sets in generalized topological spaces. (English) Zbl 1441.54003

Summary: In this paper, we introduce several types of generalized closed sets in generalized topological spaces (GTSs). Their interrelationships are investigated and several characterizations of \(\mu\)-\(\mathsf{T}_0, \mu\)-\(\mathsf{T}_1, \mu\)-\(\mathsf{T}_{1/2}, \mu\)-regular, \(\mu\)-normal GTSs and extremally \(\mu \)-disconnected GTSs are obtained.

MSC:

54A05 Topological spaces and generalizations (closure spaces, etc.)
54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)
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