Compactness and closedness are some of the important properties for studying topological spaces. Several types of these concepts (semi-compactness, pre-compactness, β-compactness,. . ., S-closedness, H-closedness, etc) occur in the literature. In this paper, we applied concept of φ operation which defined by Csaszar [8] to unify and generalized several characterizations and properties of lots of already existing some type of compactness and closedness.

In [12], T. THOMPSON has first introduced and investigated the concept of S-closed spaces. The purpose of the present paper is to improve upon some results concerning S-closed spaces due to T.… Expand

We will continue the study of p-closed spaces. This class of spaces is strictly placed between the class of strongly compact spaces and the class of quasi-H-closed spaces. We will provide new… Expand

Let (X, τ) be a topological space and let A be a subset of X . We denote the closure of A (resp. the interior of A) by clA (resp. intA) . A subset S of (X, τ) is called semi–open (resp. preopen,… Expand

We devise a framework which leads to the formulation of a unified theory of normality (regularity), semi-normality (semi-regularity), s-normality (s-regularity), feebly- normality… Expand

K1: Find necessary and sufficient conditions under which every preopen set is open. K2: Find conditions under which every dense-in-itself set is preopen. K3: Find conditions under which the… Expand

A space is said to be resolvable if it has two disjoint dense subsets. It is shown thatX is a Baire space with no resolvable open subsets iff every real function defined onX has a dense set of points… Expand