A study on \(^{\ast \ast} g \alpha\)-compactness and \(^{\ast \ast} g \alpha\)-connectedness in topological spaces. (English) Zbl 1487.54009

Summary: In this paper we introduce new concept of \(^{\ast \ast} g \alpha\)-compactness and \(^{\ast \ast} g \alpha\)-connectedness in topological space using \(^{\ast \ast} g \alpha\)-open sets and study some of their properties of \(^{\ast \ast} g \alpha\)-compactness and \(^{\ast \ast} g \alpha\)-connectedness.


54A05 Topological spaces and generalizations (closure spaces, etc.)
54B10 Product spaces in general topology
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54D05 Connected and locally connected spaces (general aspects)
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
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