\(p\)-closedness in topological spaces (Q2764602)

According to Abu-Khadra, a topological space \(X\) is called \(p\)-closed if every preopen cover of \(X\) has a finite subfamily the preclosures of whose members cover \(X\). This class of spaces has been further investigated by Dontchev, Ganster and Noiri. In the present paper the authors continue to investigate this class of spaces by introducing the notions of \(p(\theta)\)-continuity, \(p(\theta)\)-subclosed graphs and strong \(p(\theta)\)-closedness.