p-closed relative to (X, τ)

Definition

• A subset A of (X, τ) is called p-closed relative to (X, τ) if every cover of A by preopen sets of (X, τ) has a finite subfamily whose preclosures cover A.

Reference

• Ganster, Maximilian and Jafari, Saeid and Noiri, Takashi , On pc-compact spaces. (English) [J] Mem. Fac. Sci., Kochi Univ., Ser. A 23, 19-26 (2002).