𝜃-closed subsets of Hausdorff spaces

Completely regular absolutes and projective objects

“…In particular, the Stone-Cech compactification β EX is the Stone space of the Boolean algebra of regular open sets on X; thus, a natural link between a Hausdorff space X and the Stone-Cech compactification of the extremally disconnected space EX exists. In [2], this link is utilized to give a characterization of Martin's Axiom in the class of if-closed spaces. …”

“…Let φ{U) = V. Then 9 satisfies (1), (2), and (3). Conversely, suppose there is a function φ: R0(Y)-> 0(X) satisfying (1), (2), and (3). Define ψ: R0{Y) -» R0(X) by ψ<ϊ7) = intcl?>(l7).…”

GENERALIZATION OF $\theta$-CLOSED SETS IN TOPOLOGICAL SPACES

“…Noiri and Jafari [15], Joseph [10], Dickman and Porter [5], Long and Herrington [13] continued the work of Velicko and also they have obtained several interesting results related to these sets. The main purpose of this paper is to introduce new weaker forms of θ-closed sets called θωα-closed sets by using ωα-open sets of Benchalli [1].…”

Delta Closure and Delta Interior in Intuitionistic Fuzzy Topological Spaces

“…The concepts of θ-closure and δ-closure are useful tools in standard topology in the study of H-closed spaces, Katetov's and H-closed extensions, generalizations of the Stone-Weierstrass theorem and others [1,2,3,4,5,6]. Due to importance of these concepts, it is natural to try for their extensions to fuzzy topological spaces.…”