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Some properties of \(\theta\)-open sets. (English) Zbl 1099.54501

Summary: We introduce and study topological properties of \(\theta\)-derived, \(\theta\)-border, \(\theta\)-frontier and \(\theta\)-exterior of a set using the concept of \(\theta\)-open sets and study also other properties of the well-known notions of \(\theta\)-closure and \(\theta\)-interior.

MSC:

54A05 Topological spaces and generalizations (closure spaces, etc.)
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
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