ONP-COMPACT Spaces

In this work , we Introduce a new concept, namely, namely Pcompact Space , which is stronger than compact spaces. Compact Space, which is stronger than compact spaces. We state and prove several theorems concerning this new concept. Among the results we obtained are 1- A space (X,T) is P- compact if and only if every family of preclosed sets of X having the finite intersection property has a non - empty intersection.